Stability in Modules for Classical Lie Superalgebras

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Stability in Modules for Classical Lie Superalgebras by : Chanyoung Lee

Download or read book Stability in Modules for Classical Lie Superalgebras written by Chanyoung Lee and published by . This book was released on 1992 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stability in Modules for Classical Lie Algebras

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821824929
Total Pages : 165 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Stability in Modules for Classical Lie Algebras by : Georgia Benkart

Download or read book Stability in Modules for Classical Lie Algebras written by Georgia Benkart and published by American Mathematical Soc.. This book was released on 1990 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last century, mathematicians and physicists alike have studied extensively the finite dimensional irreducible representations of complex classical Lie algebras. These studies have led to numerous formulas for computing the dimensions, weights, weight multiplicities, and tensor products of the representations. The dependence of these quantities on the rank of the Lie algebra has been revealed in recent investigations using Schur functions and characters.

Classical Lie Algebras at Infinity

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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.

Lie Algebras and Their Representations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805126
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lie Algebras and Their Representations by : Seok-Jin Kang

Download or read book Lie Algebras and Their Representations written by Seok-Jin Kang and published by American Mathematical Soc.. This book was released on 1996 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 30 years, exciting developments in diverse areas of the theory of Lie algebras and their representations have been observed. The symposium covered topics such as Lie algebras and combinatorics, crystal bases for quantum groups, quantum groups and solvable lattice models, and modular and infinite-dimensional Lie algebras. In this volume, readers will find several excellent expository articles and research papers containing many significant new results in this area.

The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras

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Publisher :
ISBN 13 : 9781470401115
Total Pages : 116 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras by : Hans Plesner Jakobsen

Download or read book The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras written by Hans Plesner Jakobsen and published by . This book was released on 1994 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Homotopy Theory

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Publisher : CRC Press
ISBN 13 : 1351251619
Total Pages : 982 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Handbook of Homotopy Theory by : Haynes Miller

Download or read book Handbook of Homotopy Theory written by Haynes Miller and published by CRC Press. This book was released on 2020-01-23 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.

New Perspectives in Algebraic Combinatorics

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Publisher : Cambridge University Press
ISBN 13 : 9780521770873
Total Pages : 360 pages
Book Rating : 4.7/5 (78 download)

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Book Synopsis New Perspectives in Algebraic Combinatorics by : Louis J. Billera

Download or read book New Perspectives in Algebraic Combinatorics written by Louis J. Billera and published by Cambridge University Press. This book was released on 1999-09-28 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.

Stable Networks and Product Graphs

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Publisher : American Mathematical Soc.
ISBN 13 : 0821803476
Total Pages : 223 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Stable Networks and Product Graphs by : Tomás Feder

Download or read book Stable Networks and Product Graphs written by Tomás Feder and published by American Mathematical Soc.. This book was released on 1995 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structural and algorithmic study of stability in nonexpansive networks is based on a representation of the possible assignments of Boolean values for a network as vertices in a Boolean hypercube under the associated Hamming metric. This global view takes advantage of the median properties of the hypercube, and extends to metric networks, where individual values are now chosen from the finite metric spaces and combined by means of an additive product operation. The relationship between products of metric spaces and products of graphs then establishes a connection between isometric representation in graphs and nonexpansiveness in metric networks.

The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras

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Publisher : American Mathematical Soc.
ISBN 13 : 0821825933
Total Pages : 129 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras by : Hans Plesner Jakobsen

Download or read book The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras written by Hans Plesner Jakobsen and published by American Mathematical Soc.. This book was released on 1994 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work contains a complete description of the set of all unitarizable highest weight modules of classical Lie superalgebras. Unitarity is defined in the superalgebraic sense, and all the algebras are over the complex numbers. Part of the classification determines which real forms, defined by anti-linear anti-involutions, may occur. Although there have been many investigations for some special superalgebras, this appears to be the first systematic study of the problem.

Weight Modules of Lie Superalgebras of Type I

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Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Weight Modules of Lie Superalgebras of Type I by : Dimitar Vladimirov Grantcharov

Download or read book Weight Modules of Lie Superalgebras of Type I written by Dimitar Vladimirov Grantcharov and published by . This book was released on 2003 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Lie Superalgebras

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Publisher : Springer Science & Business
ISBN 13 : 3319029525
Total Pages : 280 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Advances in Lie Superalgebras by : Maria Gorelik

Download or read book Advances in Lie Superalgebras written by Maria Gorelik and published by Springer Science & Business. This book was released on 2014-04-28 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book contains contributions of many leading esperts in the field and provides a complete account of the newest trends in research on Lie Superalgebras.

Perspectives in Lie Theory

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Publisher : Springer
ISBN 13 : 3319589717
Total Pages : 461 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Perspectives in Lie Theory by : Filippo Callegaro

Download or read book Perspectives in Lie Theory written by Filippo Callegaro and published by Springer. This book was released on 2017-12-07 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics.

Hilbert Modules over Operator Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 0821803468
Total Pages : 53 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Hilbert Modules over Operator Algebras by : Paul S. Muhly

Download or read book Hilbert Modules over Operator Algebras written by Paul S. Muhly and published by American Mathematical Soc.. This book was released on 1995 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a general systematic analysis of the notions of ``projectivity'' and ``injectivity'' in the context of Hilbert modules over operator algebras. A Hilbert module over an operator algebra $A$ is simply the Hilbert space of a (contractive) representation of $A$ viewed as a module over $A$ in the usual way. In this work, Muhly and Solel introduce various notions of projective Hilbert modules and use them to investigate dilation and commutant lifting problems over certain infinite dimensional analogues of incidence algebras. The authors prove that commutant lifting holds for such an algebra if and only if the pattern indexing the algebra is a ``tree'' in the sense of computer directories.

Notices of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1994 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Structure and Stability of Persistence Modules

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Publisher : Springer
ISBN 13 : 3319425455
Total Pages : 120 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis The Structure and Stability of Persistence Modules by : Frédéric Chazal

Download or read book The Structure and Stability of Persistence Modules written by Frédéric Chazal and published by Springer. This book was released on 2016-10-08 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.

Recent Developments in Lie Algebras, Groups and Representation Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821869175
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Developments in Lie Algebras, Groups and Representation Theory by : Kailash C. Misra

Download or read book Recent Developments in Lie Algebras, Groups and Representation Theory written by Kailash C. Misra and published by American Mathematical Soc.. This book was released on 2012 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the 2009-2011 Southeastern Lie Theory Workshop Series, held October 9-11, 2009 at North Carolina State University, May 22-24, 2010, at the University of Georgia, and June 1-4, 2011 at the University of Virginia. Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.

Representations of Reductive Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 1470442841
Total Pages : 450 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Representations of Reductive Groups by : Avraham Aizenbud

Download or read book Representations of Reductive Groups written by Avraham Aizenbud and published by American Mathematical Soc.. This book was released on 2019-02-20 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Conference on Representation Theory and Algebraic Geometry, held in honor of Joseph Bernstein, from June 11–16, 2017, at the Weizmann Institute of Science and The Hebrew University of Jerusalem. The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope. The themes include representations of p -adic groups and Hecke algebras in all characteristics, representations of real groups and supergroups, theta correspondence, and automorphic forms.