Developments And Retrospectives In Lie Theory

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Developments and Retrospectives in Lie Theory

Author : Geoffrey Mason
Publisher : Springer
ISBN 13 : 3319098047
Total Pages : 397 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Developments and Retrospectives in Lie Theory by : Geoffrey Mason

Download or read book Developments and Retrospectives in Lie Theory written by Geoffrey Mason and published by Springer. This book was released on 2014-10-31 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. At the beginning, the top universities in California and Utah hosted the meetings which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. The contributors to this volume have all participated in these Lie theory workshops and include in this volume expository articles which cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned-above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.

Developments and Retrospectives in Lie Theory

Author : Geoffrey Mason
Publisher : Springer
ISBN 13 : 9783319348759
Total Pages : 0 pages
Book Rating : 4.3/5 (487 download)

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Book Synopsis Developments and Retrospectives in Lie Theory by : Geoffrey Mason

Download or read book Developments and Retrospectives in Lie Theory written by Geoffrey Mason and published by Springer. This book was released on 2016-09-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. These Lie theory workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. The contributors have all participated in these Lie theory workshops and include in this volume expository articles which will cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.

Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1

Author : Vladimir Dobrev
Publisher : Springer
ISBN 13 : 9811327157
Total Pages : 427 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 by : Vladimir Dobrev

Download or read book Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 written by Vladimir Dobrev and published by Springer. This book was released on 2018-11-28 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first volume of proceedings from the joint conference X International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), held on 19–25 June 2017 in Varna, Bulgaria. The QTS series was founded on the core principle that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium at the forefront of theoretical and mathematical physics. The LT series covers the whole field of Lie theory in its widest sense, together with its applications in many areas of physics. As an interface between mathematics and physics, the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In dividing the material between the two volumes, the Editor has sought to select papers that are more oriented toward mathematics for the first volume, and those focusing more on physics for the second. However, this division is relative, since many papers are equally suitable for either volume. The topics addressed in this volume represent the latest trends in the fields covered by the joint conferences: representation theory, integrability, entanglement, quantum groups, number theory, conformal geometry, quantum affine superalgebras, noncommutative geometry. Further, they present various mathematical results: on minuscule modules, symmetry breaking operators, Kashiwara crystals, meta-conformal invariance, the superintegrable Zernike system.

Lie Groups, Number Theory, and Vertex Algebras

Author : Dražen Adamović
Publisher : American Mathematical Soc.
ISBN 13 : 1470453517
Total Pages : 122 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lie Groups, Number Theory, and Vertex Algebras by : Dražen Adamović

Download or read book Lie Groups, Number Theory, and Vertex Algebras written by Dražen Adamović and published by American Mathematical Soc.. This book was released on 2021-05-10 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Representation Theory XVI, held from June 25–29, 2019, in Dubrovnik, Croatia. The articles in the volume address selected aspects of representation theory of reductive Lie groups and vertex algebras, and are written by prominent experts in the field as well as junior researchers. The three main topics of these articles are Lie theory, number theory, and vertex algebras.

Lie Groups, Geometry, and Representation Theory

Author : Victor G. Kac
Publisher : Springer
ISBN 13 : 3030021912
Total Pages : 540 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Lie Groups, Geometry, and Representation Theory by : Victor G. Kac

Download or read book Lie Groups, Geometry, and Representation Theory written by Victor G. Kac and published by Springer. This book was released on 2018-12-12 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 – February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics. Kostant’s fundamental work in all of these areas has provided deep new insights and connections, and has created new fields of research. This volume features the only published articles of important recent results of the contributors with full details of their proofs. Key topics include: Poisson structures and potentials (A. Alekseev, A. Berenstein, B. Hoffman) Vertex algebras (T. Arakawa, K. Kawasetsu) Modular irreducible representations of semisimple Lie algebras (R. Bezrukavnikov, I. Losev) Asymptotic Hecke algebras (A. Braverman, D. Kazhdan) Tensor categories and quantum groups (A. Davydov, P. Etingof, D. Nikshych) Nil-Hecke algebras and Whittaker D-modules (V. Ginzburg) Toeplitz operators (V. Guillemin, A. Uribe, Z. Wang) Kashiwara crystals (A. Joseph) Characters of highest weight modules (V. Kac, M. Wakimoto) Alcove polytopes (T. Lam, A. Postnikov) Representation theory of quantized Gieseker varieties (I. Losev) Generalized Bruhat cells and integrable systems (J.-H. Liu, Y. Mi) Almost characters (G. Lusztig) Verlinde formulas (E. Meinrenken) Dirac operator and equivariant index (P.-É. Paradan, M. Vergne) Modality of representations and geometry of θ-groups (V. L. Popov) Distributions on homogeneous spaces (N. Ressayre) Reduction of orthogonal representations (J.-P. Serre)

Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

Author : Kailash C. Misra
Publisher : American Mathematical Soc.
ISBN 13 : 1470418444
Total Pages : 355 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics by : Kailash C. Misra

Download or read book Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics written by Kailash C. Misra and published by American Mathematical Soc.. This book was released on 2016-06-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 2012–2014 Southeastern Lie Theory Workshop Series held at North Carolina State University in April 2012, at College of Charleston in December 2012, at Louisiana State University in May 2013, and at University of Georgia in May 2014. Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

2016 MATRIX Annals

Author : Jan de Gier
Publisher : Springer
ISBN 13 : 3319722999
Total Pages : 656 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis 2016 MATRIX Annals by : Jan de Gier

Download or read book 2016 MATRIX Annals written by Jan de Gier and published by Springer. This book was released on 2018-04-10 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: - Higher Structures in Geometry and Physics - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low- dimensional Topology The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series. The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.

Quasi-Hopf Algebras

Author : Daniel Bulacu
Publisher : Cambridge University Press
ISBN 13 : 1108427014
Total Pages : 545 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Quasi-Hopf Algebras by : Daniel Bulacu

Download or read book Quasi-Hopf Algebras written by Daniel Bulacu and published by Cambridge University Press. This book was released on 2019-02-21 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book dedicated to Drinfeld's quasi-Hopf algebras takes the reader from the basics to the state of the art.

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications

Author : Ali Baklouti
Publisher : Springer
ISBN 13 : 3319651811
Total Pages : 234 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Geometric and Harmonic Analysis on Homogeneous Spaces and Applications by : Ali Baklouti

Download or read book Geometric and Harmonic Analysis on Homogeneous Spaces and Applications written by Ali Baklouti and published by Springer. This book was released on 2018-02-09 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications. It also includes the most recent developments on other areas of mathematics including algebra and geometry. Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical research. These areas are interrelated with various other mathematical fields such as number theory, algebraic geometry, differential geometry, operator algebra, partial differential equations and mathematical physics. Keeping up with the fast development of this exciting area of research, Ali Baklouti (University of Sfax) and Takaaki Nomura (Kyushu University) launched a series of seminars on the topic, the first of which took place on November 2009 in Kerkennah Islands, the second in Sousse on December 2011, and the third in Hammamet on December 2013. The last seminar, which took place December 18th to 23rd 2015 in Monastir, Tunisia, has promoted further research in all the fields where the main focus was in the area of Analysis, algebra and geometry and on topics of joint collaboration of many teams in several corners. Many experts from both countries have been involved.

Classical Lie Algebras at Infinity

Author : Ivan Penkov
Publisher : Springer Nature
ISBN 13 : 3030896609
Total Pages : 245 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Classical Lie Algebras at Infinity by : Ivan Penkov

Download or read book Classical Lie Algebras at Infinity written by Ivan Penkov and published by Springer Nature. This book was released on 2022-01-05 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. The exposition includes an introduction to the subject, some highlights of the theory and recent results in the field, and is therefore appropriate for advanced graduate students entering the field as well as research mathematicians wishing to expand their knowledge. The mathematical background required varies from chapter to chapter, but a standard course on Lie algebras and their representations, along with some knowledge of homological algebra, is necessary. Basic algebraic geometry and sheaf cohomology are needed for Chapter 10. Exercises of various levels of difficulty are interlaced throughout the text to add depth to topical comprehension. The unifying theme of this book is the structure and representation theory of infinite-dimensional locally reductive Lie algebras and superalgebras. Chapters 1-6 are foundational; each of the last 4 chapters presents a self-contained study of a specialized topic within the larger field. Lie superalgebras and flag supermanifolds are discussed in Chapters 3, 7, and 10, and may be skipped by the reader.

Representation Theory and Harmonic Analysis on Symmetric Spaces

Author : Jens Gerlach Christensen
Publisher : American Mathematical Soc.
ISBN 13 : 1470440709
Total Pages : 303 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Representation Theory and Harmonic Analysis on Symmetric Spaces by : Jens Gerlach Christensen

Download or read book Representation Theory and Harmonic Analysis on Symmetric Spaces written by Jens Gerlach Christensen and published by American Mathematical Soc.. This book was released on 2018-08-27 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.

Symmetry Breaking for Representations of Rank One Orthogonal Groups II

Author : Toshiyuki Kobayashi
Publisher : Springer
ISBN 13 : 981132901X
Total Pages : 344 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Symmetry Breaking for Representations of Rank One Orthogonal Groups II by : Toshiyuki Kobayashi

Download or read book Symmetry Breaking for Representations of Rank One Orthogonal Groups II written by Toshiyuki Kobayashi and published by Springer. This book was released on 2018-12-27 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup.The study of symmetry breaking operators (intertwining operators for restriction) is an important and very active research area in modern representation theory, which also interacts with various fields in mathematics and theoretical physics ranging from number theory to differential geometry and quantum mechanics.The first author initiated a program of the general study of symmetry breaking operators. The present book pursues the program by introducing new ideas and techniques, giving a systematic and detailed treatment in the case of orthogonal groups of real rank one, which will serve as models for further research in other settings.In connection to automorphic forms, this work includes a proof for a multiplicity conjecture by Gross and Prasad for tempered principal series representations in the case (SO(n + 1, 1), SO(n, 1)). The authors propose a further multiplicity conjecture for nontempered representations.Viewed from differential geometry, this seminal work accomplishes the classification of all conformally covariant operators transforming differential forms on a Riemanniann manifold X to those on a submanifold in the model space (X, Y) = (Sn, Sn-1). Functional equations and explicit formulæ of these operators are also established.This book offers a self-contained and inspiring introduction to the analysis of symmetry breaking operators for infinite-dimensional representations of reductive Lie groups. This feature will be helpful for active scientists and accessible to graduate students and young researchers in representation theory, automorphic forms, differential geometry, and theoretical physics.

Advances in Child Development and Behavior

Author :
Publisher : Academic Press
ISBN 13 : 9780080565972
Total Pages : 385 pages
Book Rating : 4.5/5 (659 download)

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Book Synopsis Advances in Child Development and Behavior by :

Download or read book Advances in Child Development and Behavior written by and published by Academic Press. This book was released on 1994-12-23 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Child Development and Behavior is intended to ease the task faced by researchers, instructors, and students who are confronted by the vast amount of research and theoretical discussion in child development and behavior. The serial provides scholarly technical articles with critical reviews, recent advances in research, and fresh theoretical viewpoints. Volume 25 offers perspectives on children's activity memory, spatial representation, social reasoning, and metacognitive development.

Community Development in Action

Author : Margaret Ledwith
Publisher : Policy Press
ISBN 13 : 1847428762
Total Pages : 208 pages
Book Rating : 4.8/5 (474 download)

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Book Synopsis Community Development in Action by : Margaret Ledwith

Download or read book Community Development in Action written by Margaret Ledwith and published by Policy Press. This book was released on 2016 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a world in which social divisions are widening not lessening, it is essential for community development, or any other practice committed to social justice and sustainability, to understand how power works at every level, from grassroots projects to movements for change. This exciting and practical book is filled to the brim with useful ideas for busy practitioners. Building on the work of Paulo Freire, theories are presented in interesting and straightforward ways to provide an everyday reference for practice. Contained in these pages is all you need to give your practice a critical edge!

New Trends in Development Theory

Author : Peter Preston
Publisher : Routledge
ISBN 13 : 1136855874
Total Pages : 219 pages
Book Rating : 4.1/5 (368 download)

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Book Synopsis New Trends in Development Theory by : Peter Preston

Download or read book New Trends in Development Theory written by Peter Preston and published by Routledge. This book was released on 2010-11-26 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of this work, first published in 1985, is the exchange between issues of development and problems of social theory. They provide preliminary analysis of the multiplicity of social-theoretic arguments in development theory and their implications for social theory in general. The book will be of interest to all those interested in the contemporary ‘restructuring’ of social theory and to theorists of development who are rethinking their concerns in a period of pessimism and doubt.

New Developments in Consciousness Research

Author : Vincent W. Fallio
Publisher : Nova Publishers
ISBN 13 : 9781600212475
Total Pages : 240 pages
Book Rating : 4.2/5 (124 download)

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Book Synopsis New Developments in Consciousness Research by : Vincent W. Fallio

Download or read book New Developments in Consciousness Research written by Vincent W. Fallio and published by Nova Publishers. This book was released on 2007 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consciousness is a quality of the mind generally regarded to comprise qualities such as subjectivity, self-awareness, sentience, sapience, and the ability to perceive the relationship between oneself and one's environment. It is a subject of much research in philosophy of mind, psychology, neurology, and cognitive science. This book gathers a compilation of new and significant research on many facets of consciousness research. These include memory studies, evolution of consciousness, paranormal experiences, phenomenal consciousness, meditation, human emotion and psychopathology.

Operators and Representation Theory

Author : Palle E.T. Jorgensen
Publisher : Courier Dover Publications
ISBN 13 : 0486815722
Total Pages : 307 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Operators and Representation Theory by : Palle E.T. Jorgensen

Download or read book Operators and Representation Theory written by Palle E.T. Jorgensen and published by Courier Dover Publications. This book was released on 2017-06-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three-part treatment covers background material on definitions, terminology, operators in Hilbert space domains of representations, operators in the enveloping algebra, spectral theory; and covariant representation and connections. 2017 edition.