Recent Developments In Infinite Dimensional Lie Algebras And Conformal Field Theory PDF Download
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| Author | : Stephen Berman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 346 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 0821827162 |
Download Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory Book in PDF, ePub and Kindle
Because of its many applications to mathematics and mathematical physics, the representation theory of infinite-dimensional Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, ``Infinite-Dimensional Lie Theory and Conformal Field Theory'', held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field. Thisconference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlightedapplications to conformal field theory, integrable and disordered systems. Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers.
| Author | : Augustin Banyaga |
| Publisher | : World Scientific |
| Total Pages | : 174 |
| Release | : 2002-07-12 |
| Genre | : Science |
| ISBN | : 9814488143 |
Download Infinite Dimensional Lie Groups In Geometry And Representation Theory Book in PDF, ePub and Kindle
This book constitutes the proceedings of the 2000 Howard conference on “Infinite Dimensional Lie Groups in Geometry and Representation Theory”. It presents some important recent developments in this area. It opens with a topological characterization of regular groups, treats among other topics the integrability problem of various infinite dimensional Lie algebras, presents substantial contributions to important subjects in modern geometry, and concludes with interesting applications to representation theory. The book should be a new source of inspiration for advanced graduate students and established researchers in the field of geometry and its applications to mathematical physics.
| Author | : Oleg K. Sheinman |
| Publisher | : Walter de Gruyter |
| Total Pages | : 164 |
| Release | : 2012-10-01 |
| Genre | : Mathematics |
| ISBN | : 3110264528 |
Download Current Algebras on Riemann Surfaces Book in PDF, ePub and Kindle
This monograph is an introduction into a new and fast developing field on the crossroads of infinite-dimensional Lie algebra theory and contemporary mathematical physics. It contains a self-consistent presentation of the theory of Krichever-Novikov algebras, Lax operator algebras, their interaction, representation theory, relations to moduli spaces of Riemann surfaces and holomorphic vector bundles on them, to Lax integrable systems, and conformal field theory. For beginners, the book provides a short way to join in the investigations in these fields. For experts, it sums up the recent advances in the theory of almost graded infinite-dimensional Lie algebras and their applications. The book may serve as a base for semester lecture courses on finite-dimensional integrable systems, conformal field theory, almost graded Lie algebras. Majority of results are presented for the first time in the form of monograph.
| Author | : Heinz Dietrich Doebner |
| Publisher | : |
| Total Pages | : 152 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : |
Download Infinite Dimensional Lie Algebras and Quantum Field Theory Book in PDF, ePub and Kindle
| Author | : Minoru Wakimoto |
| Publisher | : World Scientific |
| Total Pages | : 456 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 9810241291 |
Download Lectures on Infinite-dimensional Lie Algebra Book in PDF, ePub and Kindle
The representation theory of affine Lie algebras has been developed in close connection with various areas of mathematics and mathematical physics in the last two decades. There are three excellent books on it, written by Victor G Kac. This book begins with a survey and review of the material treated in Kac's books. In particular, modular invariance and conformal invariance and are explained in more detail. The book then goes further, dealing with some of the recent topics involving the representation theory of affine Lie algebras. Since these topics are important not only in themselves but also in their application to some areas of mathematics and mathematical physics, the book expounds them with examples and detailed calculations.
| Author | : Kailash C. Misra |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 330 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0821869175 |
Download Recent Developments in Lie Algebras, Groups and Representation Theory Book in PDF, ePub and Kindle
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.
| Author | : Chengming Bai |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 285 |
| Release | : 2013-10-30 |
| Genre | : Mathematics |
| ISBN | : 3642393837 |
Download Conformal Field Theories and Tensor Categories Book in PDF, ePub and Kindle
The present volume is a collection of seven papers that are either based on the talks presented at the workshop "Conformal field theories and tensor categories" held June 13 to June 17, 2011 at the Beijing International Center for Mathematical Research, Peking University, or are extensions of the material presented in the talks at the workshop. These papers present new developments beyond rational conformal field theories and modular tensor categories and new applications in mathematics and physics. The topics covered include tensor categories from representation categories of Hopf algebras, applications of conformal field theories and tensor categories to topological phases and gapped systems, logarithmic conformal field theories and the corresponding non-semisimple tensor categories, and new developments in the representation theory of vertex operator algebras. Some of the papers contain detailed introductory material that is helpful for graduate students and researchers looking for an introduction to these research directions. The papers also discuss exciting recent developments in the area of conformal field theories, tensor categories and their applications and will be extremely useful for researchers working in these areas.
| Author | : Martin Schottenloher |
| Publisher | : Springer |
| Total Pages | : 254 |
| Release | : 2008-09-11 |
| Genre | : Science |
| ISBN | : 3540686282 |
Download A Mathematical Introduction to Conformal Field Theory Book in PDF, ePub and Kindle
The first part of this book gives a self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. The second part surveys some more advanced topics of conformal field theory.
| Author | : Gerard G. A. Bäuerle |
| Publisher | : North Holland |
| Total Pages | : 420 |
| Release | : 1990 |
| Genre | : Finite element method |
| ISBN | : |
Download Lie Algebras Book in PDF, ePub and Kindle
This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I. The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as the Casimir operator and the Weyl-Kac character formula, which are specific for Kac-Moody algebras. The applications have a wide range. First, the book contains an exposition on the role of finite-dimensional semisimple Lie algebras and their representations in the standard and grand unified models of elementary particle physics. A second application is in the realm of soliton equations and their infinite-dimensional symmetry groups and algebras. The book concludes with a chapter on conformal field theory and the importance of the Virasoro and Kac-Moody algebras therein.
| Author | : Naihuan Jing |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 482 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 0821811991 |
Download Recent Developments in Quantum Affine Algebras and Related Topics Book in PDF, ePub and Kindle
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.
