Expository Lectures On Representation Theory

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Expository Lectures on Representation Theory

Author : Kiyoshi Igusa
Publisher : American Mathematical Soc.
ISBN 13 : 0821891405
Total Pages : 236 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Expository Lectures on Representation Theory by : Kiyoshi Igusa

Download or read book Expository Lectures on Representation Theory written by Kiyoshi Igusa and published by American Mathematical Soc.. This book was released on 2014-01-16 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Maurice Auslander Distinguished Lectures and International Conference, held April 25-30, 2012, in Falmouth, MA. The representation theory of finite dimensional algebras and related topics, especially cluster combinatorics, is a very active topic of research. This volume contains papers covering both the history and the latest developments in this topic. In particular, Otto Kerner gives a review of basic theorems and latest results about wild hereditary algebras, Yuri Berest develops the theory of derived representation schemes, and Markus Schmidmeier presents new applications of arc diagrams.

Lectures on Representation Theory

Author : Jing-Song Huang
Publisher : World Scientific
ISBN 13 : 9789810237257
Total Pages : 206 pages
Book Rating : 4.2/5 (372 download)

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Book Synopsis Lectures on Representation Theory by : Jing-Song Huang

Download or read book Lectures on Representation Theory written by Jing-Song Huang and published by World Scientific. This book was released on 1999 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an expanded version of the lectures given at the Nankai Mathematical Summer School in 1997. It provides an introduction to Lie groups, Lie algebras and their representations as well as introduces some directions of current research for graduate students who have little specialized knowledge in representation theory. It only assumes that the reader has a good knowledge of linear algebra and some basic knowledge of abstract algebra.Parts I-III of the book cover the relatively elementary material of representation theory of finite groups, simple Lie algebras and compact Lie groups. These theories are natural continuation of linear algebra. The last chapter of Part III includes some recent results on extension of Weyl's construction to exceptional groups. Part IV covers some advanced material on infinite-dimensional representations of non-compact groups such as the orbit method, minimal representations and dual pair correspondences, which introduces some directions of the current research in representation theory.

Expository Lectures on Representation Theory

Author : Kiyoshi Igusa
Publisher :
ISBN 13 : 9781470414412
Total Pages : 224 pages
Book Rating : 4.4/5 (144 download)

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Book Synopsis Expository Lectures on Representation Theory by : Kiyoshi Igusa

Download or read book Expository Lectures on Representation Theory written by Kiyoshi Igusa and published by . This book was released on 2014 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perspectives in Representation Theory

Author : Pavel Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821891707
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Perspectives in Representation Theory by : Pavel Etingof

Download or read book Perspectives in Representation Theory written by Pavel Etingof and published by American Mathematical Soc.. This book was released on 2014-03-11 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor of Igor Frenkel's 60th birthday. The aim of the conference was to present current progress on the following (interrelated) topics: vertex operator algebras and chiral algebras, conformal field theory, the (geometric) Langlands program, affine Lie algebras, Kac-Moody algebras, quantum groups, crystal bases and canonical bases, quantum cohomology and K-theory, geometric representation theory, categorification, higher-dimensional Kac-Moody theory, integrable systems, quiver varieties, representations of real and -adic groups, and quantum gauge theories. The papers in this volume present representation theory connections to numerous other subjects, as well as some of the most recent advances in representation theory, including those which occurred thanks to the application of techniques in other areas of mathematics, and of ideas of quantum field theory and string theory.

Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics

Author : Pramod M. Achar
Publisher : American Mathematical Society
ISBN 13 : 0821898523
Total Pages : 280 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics by : Pramod M. Achar

Download or read book Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics written by Pramod M. Achar and published by American Mathematical Society. This book was released on 2014-08-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.

Geometric and Topological Aspects of the Representation Theory of Finite Groups

Author : Jon F. Carlson
Publisher : Springer
ISBN 13 : 3319940333
Total Pages : 493 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Geometric and Topological Aspects of the Representation Theory of Finite Groups by : Jon F. Carlson

Download or read book Geometric and Topological Aspects of the Representation Theory of Finite Groups written by Jon F. Carlson and published by Springer. This book was released on 2018-10-04 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an emphasis on group prepresentations and cohomology. The first workshop was titled "Groups, Representations, and Cohomology" and held from June 22 to June 27, 2015 at Sabhal Mòr Ostaig on the Isle of Skye, Scotland. The second was a combination of a summer school and workshop on the subject of "Geometric Methods in the Representation Theory of Finite Groups" and took place at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver from July 27 to August 5, 2016. The contents of the volume include a composite of both summer school material and workshop-derived survey articles on geometric and topological aspects of the representation theory of finite groups. The mission of the annually sponsored Summer Schools is to train and draw new students, and help Ph.D students transition to independent research.

Introduction to Representation Theory

Author : Pavel I. Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 228 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Representation Theory by : Pavel I. Etingof

Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Recent Developments in Representation Theory

Author : Alex Martsinkovsky
Publisher : American Mathematical Soc.
ISBN 13 : 1470419556
Total Pages : 249 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Recent Developments in Representation Theory by : Alex Martsinkovsky

Download or read book Recent Developments in Representation Theory written by Alex Martsinkovsky and published by American Mathematical Soc.. This book was released on 2016-08-26 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected expository lectures delivered at the Maurice Auslander Distinguished Lectures and International Conference, held May 1–6, 2014, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Several significant developments of the last decade in representation theory of finite-dimensional algebras are related to combinatorics. Three of the five lectures in this volume deal, respectively, with the Catalan combinatorics, the combinatorics of Gelfand-Zetlin polytopes, and the combinatorics of tilting modules. The remaining papers present history and recent advances in the study of left orders in left Artinian rings and a survey on invariant theory of Artin-Schelter regular algebras.

Representations of Algebras

Author : Graham J. Leuschke
Publisher : American Mathematical Soc.
ISBN 13 : 1470435764
Total Pages : 296 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Representations of Algebras by : Graham J. Leuschke

Download or read book Representations of Algebras written by Graham J. Leuschke and published by American Mathematical Soc.. This book was released on 2018 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 17th Workshop and International Conference on Representations of Algebras (ICRA 2016), held from August 10-19, 2016, at Syracuse University, Syracuse, NY. Included are three survey articles based on short courses in the areas of commutative algebraic groups, modular group representation theory, and thick tensor ideals of bounded derived categories. Other articles represent contributions to areas in and related to representation theory, such as noncommutative resolutions, twisted commutative algebras, and upper cluster algebras.

Surveys in Representation Theory of Algebras

Author : Alex Martsinkovsky
Publisher : American Mathematical Soc.
ISBN 13 : 1470436795
Total Pages : 203 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Surveys in Representation Theory of Algebras by : Alex Martsinkovsky

Download or read book Surveys in Representation Theory of Algebras written by Alex Martsinkovsky and published by American Mathematical Soc.. This book was released on 2018-09-12 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected expository lectures delivered at the annual Maurice Auslander Distinguished Lectures and International Conference over the last several years. Reflecting the diverse landscape of modern representation theory of algebras, the selected articles include: a quick introduction to silting modules; a survey on the first decade of co-t-structures in triangulated categories; a functorial approach to the notion of module; a representation-theoretic approach to recollements in abelian categories; new examples of applications of relative homological algebra; connections between Coxeter groups and quiver representations; and recent progress on limits of approximation theory.

Ring Theory and Its Applications

Author : Dinh Van Huynh
Publisher : American Mathematical Soc.
ISBN 13 : 0821887971
Total Pages : 311 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ring Theory and Its Applications by : Dinh Van Huynh

Download or read book Ring Theory and Its Applications written by Dinh Van Huynh and published by American Mathematical Soc.. This book was released on 2014-02-21 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison Mathematics Conference, held from May 25-27, 2012, at The Ohio State University, Columbus, Ohio. Included are expository articles and research papers covering topics such as cyclically presented modules, Eggert's conjecture, the Mittag-Leffler conditions, clean rings, McCoy rings, QF rings, projective and injective modules, Baer modules, and Leavitt path algebras. Graduate students and researchers in many areas of algebra will find this volume valuable as the papers point out many directions for future work; in particular, several articles contain explicit lists of open questions.

Topology and Representation Theory

Author : Eric M. Friedlander
Publisher : American Mathematical Soc.
ISBN 13 : 0821851659
Total Pages : 318 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topology and Representation Theory by : Eric M. Friedlander

Download or read book Topology and Representation Theory written by Eric M. Friedlander and published by American Mathematical Soc.. This book was released on 1994 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: During 1991-1992, Northwestern University conducted a special emphasis year on the topic, 'The connections between topology and representation theory'. Activities over the year culminated in a conference in May 1992 which attracted over 120 participants. Most of the plenary lectures at the conference were expository and designed to introduce current trends to graduate students and nonspecialists familiar with algebraic topology. This volume contains refereed papers presented or solicited at the conference; one paper is based on a seminar given during the emphasis year.

Operator Methods in Wavelets, Tilings, and Frames

Author : Keri A. Kornelson
Publisher : American Mathematical Soc.
ISBN 13 : 1470410400
Total Pages : 177 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Operator Methods in Wavelets, Tilings, and Frames by : Keri A. Kornelson

Download or read book Operator Methods in Wavelets, Tilings, and Frames written by Keri A. Kornelson and published by American Mathematical Soc.. This book was released on 2014-10-20 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Harmonic Analysis of Frames, Wavelets, and Tilings, held April 13-14, 2013, in Boulder, Colorado. Frames were first introduced by Duffin and Schaeffer in 1952 in the context of nonharmonic Fourier series but have enjoyed widespread interest in recent years, particularly as a unifying concept. Indeed, mathematicians with backgrounds as diverse as classical and modern harmonic analysis, Banach space theory, operator algebras, and complex analysis have recently worked in frame theory. Frame theory appears in the context of wavelets, spectra and tilings, sampling theory, and more. The papers in this volume touch on a wide variety of topics, including: convex geometry, direct integral decompositions, Beurling density, operator-valued measures, and splines. These varied topics arise naturally in the study of frames in finite and infinite dimensions. In nearly all of the papers, techniques from operator theory serve as crucial tools to solving problems in frame theory. This volume will be of interest not only to researchers in frame theory but also to those in approximation theory, representation theory, functional analysis, and harmonic analysis.

Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces

Author : Milagros Izquierdo
Publisher : American Mathematical Soc.
ISBN 13 : 1470410931
Total Pages : 348 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces by : Milagros Izquierdo

Download or read book Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces written by Milagros Izquierdo and published by American Mathematical Soc.. This book was released on 2014-11-21 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on Riemann and Klein Surfaces, Symmetries and Moduli Spaces, in honor of Emilio Bujalance, held from June 24-28, 2013, at Linköping University. The conference and this volume are devoted to the mathematics that Emilio Bujalance has worked with in the following areas, all with a computational flavor: Riemann and Klein surfaces, automorphisms of real and complex surfaces, group actions on surfaces and topological properties of moduli spaces of complex curves and Abelian varieties.

Discrete Geometry and Algebraic Combinatorics

Author : Alexander Barg
Publisher : American Mathematical Society
ISBN 13 : 1470409054
Total Pages : 190 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Discrete Geometry and Algebraic Combinatorics by : Alexander Barg

Download or read book Discrete Geometry and Algebraic Combinatorics written by Alexander Barg and published by American Mathematical Society. This book was released on 2014-08-28 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.

Biological Fluid Dynamics: Modeling, Computations, and Applications

Author : Anita T. Layton
Publisher : American Mathematical Soc.
ISBN 13 : 0821898507
Total Pages : 240 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Biological Fluid Dynamics: Modeling, Computations, and Applications by : Anita T. Layton

Download or read book Biological Fluid Dynamics: Modeling, Computations, and Applications written by Anita T. Layton and published by American Mathematical Soc.. This book was released on 2014-10-14 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the AMS Special Session on Biological Fluid Dynamics: Modeling, Computation, and Applications, held on October 13, 2012, at Tulane University, New Orleans, Louisiana. In recent years, there has been increasing interest in the development and application of advanced computational techniques for simulating fluid motion driven by immersed flexible structures. That interest is motivated, in large part, by the multitude of applications in physiology and biology. In some biological systems, fluid motion is driven by active biological tissues, which are typically constructed of fibers that are surrounded by fluid. Not only do the fibers hold the tissues together, they also transmit forces that ultimately result in fluid motion. In other examples, the fluid may flow through conduits such as blood vessels or airways that are flexible or active. That is, those conduits may react to and affect the fluid dynamics. This volume responds to the widespread interest among mathematicians, biologists, and engineers in fluid-structure interactions problems. Included are expository and review articles in biological fluid dynamics. Applications that are considered include ciliary motion, upside-down jellyfish, biological feedback in the kidney, peristalsis and dynamic suction pumping, and platelet cohesion and adhesion.

Algebraic Topology: Applications and New Directions

Author : Ulrike Tillmann
Publisher : American Mathematical Soc.
ISBN 13 : 0821894749
Total Pages : 328 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebraic Topology: Applications and New Directions by : Ulrike Tillmann

Download or read book Algebraic Topology: Applications and New Directions written by Ulrike Tillmann and published by American Mathematical Soc.. This book was released on 2014-07-14 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Stanford Symposium on Algebraic Topology: Applications and New Directions, held from July 23-27, 2012, at Stanford University, Stanford, California. The symposium was held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their 60th and 70th birthdays that year. It showcased current research in Algebraic Topology reflecting the celebrants' broad interests and profound influence on the subject. The topics varied broadly from stable equivariant homotopy theory to persistent homology and application in data analysis, covering topological aspects of quantum physics such as string topology and geometric quantization, examining homology stability in algebraic and geometric contexts, including algebraic -theory and the theory of operads.