Affine Lie Algebras And Quantum Groups
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Affine Lie Algebras and Quantum Groups
Author | : Jürgen Fuchs |
Publsiher | : Cambridge University Press |
Total Pages | : 452 |
Release | : 1995-03-09 |
Genre | : Mathematics |
ISBN | : 052148412X |
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This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.
Representations of Lie Algebras Quantum Groups and Related Topics
Author | : Naihuan Jing,Kailash C. Misra |
Publsiher | : American Mathematical Soc. |
Total Pages | : 233 |
Release | : 2018-08-21 |
Genre | : Algebra |
ISBN | : 9781470436964 |
Download Representations of Lie Algebras Quantum Groups and Related Topics Book in PDF, Epub and Kindle
This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November 12–13, 2016, at North Carolina State University, Raleigh, North Carolina. The articles cover various aspects of representations of Kac–Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever–Novikov algebras, representations of quantum groups, and related topics.
Recent Developments in Quantum Affine Algebras and Related Topics
Author | : Naihuan Jing,Kailash C. Misra |
Publsiher | : American Mathematical Soc. |
Total Pages | : 482 |
Release | : 1999 |
Genre | : Affine algebraic groups |
ISBN | : 9780821811993 |
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This volume reflects the proceedings of the International Conference on Representations of Affine and Quantum Affine Algebras and Their Applications held at North Carolina State University (Raleigh). In recent years, the theory of affine and quantum affine Lie algebras has become an important area of mathematical research with numerous applications in other areas of mathematics and physics. Three areas of recent progress are the focus of this volume: affine and quantum affine algebras and their generalizations, vertex operator algebras and their representations, and applications in combinatorics and statistical mechanics. Talks given by leading international experts at the conference offered both overviews on the subjects and current research results. The book nicely presents the interplay of these topics recently occupying "centre stage" in the theory of infinite dimensional Lie theory.
Quantum Groups and Lie Theory
Author | : Andrew Pressley |
Publsiher | : Cambridge University Press |
Total Pages | : 246 |
Release | : 2002-01-17 |
Genre | : Mathematics |
ISBN | : 113943702X |
Download Quantum Groups and Lie Theory Book in PDF, Epub and Kindle
This book comprises an overview of the material presented at the 1999 Durham Symposium on Quantum Groups and includes contributions from many of the world's leading figures in this area. It will be of interest to researchers and will also be useful as a reference text for graduate courses.
A Guide to Quantum Groups
Author | : Vyjayanthi Chari,Andrew N. Pressley |
Publsiher | : Cambridge University Press |
Total Pages | : 672 |
Release | : 1995-07-27 |
Genre | : Mathematics |
ISBN | : 0521558840 |
Download A Guide to Quantum Groups Book in PDF, Epub and Kindle
Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. The theory of quantum groups is now well established as a fascinating chapter of representation theory, and has thrown new light on many different topics, notably low-dimensional topology and conformal field theory. The goal of this book is to give a comprehensive view of quantum groups and their applications. The authors build on a self-contained account of the foundations of the subject and go on to treat the more advanced aspects concisely and with detailed references to the literature. Thus this book can serve both as an introduction for the newcomer, and as a guide for the more experienced reader. All who have an interest in the subject will welcome this unique treatment of quantum groups.
Representation Theory of Algebraic Groups and Quantum Groups
Author | : Akihiko Gyoja,Hiraku Nakajima,Ken-ichi Shinoda,Toshiaki Shoji,Toshiyuki Tanisaki |
Publsiher | : Springer Science & Business Media |
Total Pages | : 356 |
Release | : 2010-11-25 |
Genre | : Mathematics |
ISBN | : 9780817646974 |
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Invited articles by top notch experts Focus is on topics in representation theory of algebraic groups and quantum groups Of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics
Representation of Lie Groups and Special Functions
Author | : N.Ja. Vilenkin,A.U. Klimyk |
Publsiher | : Springer Science & Business Media |
Total Pages | : 651 |
Release | : 2013-04-18 |
Genre | : Mathematics |
ISBN | : 9789401728812 |
Download Representation of Lie Groups and Special Functions Book in PDF, Epub and Kindle
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fand-Tsetlin basis, and, finally, modular forms, theta-functions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%.
Lectures on Algebraic Quantum Groups
Author | : Ken Brown,Ken R. Goodearl |
Publsiher | : Birkhäuser |
Total Pages | : 339 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034882057 |
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This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.