Structure Of The Standard Modules For The Affine Lie Algebra A 1 1

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Structure Of The Standard Modules For The Affine Lie Algebra A 1 1

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Author : James Lepowsky
language : en
Publisher: American Mathematical Soc.
Release Date : 1985

Structure Of The Standard Modules For The Affine Lie Algebra A 1 1 written by James Lepowsky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

The affine Kac-Moody algebra $A_1 DEGREES{(1)}$ has served as a source of ideas in the representation theory of infinite-dimensional affine Lie algebras. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1 DEGREES{(1)}$-modules in the homogeneou

Structures Of The Level One Standard Modules For The Affine Lie Algebras B L 1 F 4 1 And G 2 1

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Author : Marly Mandia
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

Structures Of The Level One Standard Modules For The Affine Lie Algebras B L 1 F 4 1 And G 2 1 written by Marly Mandia and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

Structure Of The Standard Modules For The Affine Lie Algebra A Subscript 1 Superscript 1

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Author : Mathematical Sciences Research Institute (Berkeley, Calif.).
language : en
Publisher:
Release Date : 1985

Structure Of The Standard Modules For The Affine Lie Algebra A Subscript 1 Superscript 1 written by Mathematical Sciences Research Institute (Berkeley, Calif.). and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Structure Of The Standard Modules For The Affine Lie Algebra A 1 1

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Author : James Lepowsky
language : en
Publisher:
Release Date : 1985

Structure Of The Standard Modules For The Affine Lie Algebra A 1 1 written by James Lepowsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.

Affine Vertex And W Algebras

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Author : Dražen Adamović
language : en
Publisher: Springer Nature
Release Date : 2019-11-28

Affine Vertex And W Algebras written by Dražen Adamović and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-28 with Mathematics categories.

This book focuses on recent developments in the theory of vertex algebras, with particular emphasis on affine vertex algebras, affine W-algebras, and W-algebras appearing in physical theories such as logarithmic conformal field theory. It is widely accepted in the mathematical community that the best way to study the representation theory of affine Kac–Moody algebras is by investigating the representation theory of the associated affine vertex and W-algebras. In this volume, this general idea can be seen at work from several points of view. Most relevant state of the art topics are covered, including fusion, relationships with finite dimensional Lie theory, permutation orbifolds, higher Zhu algebras, connections with combinatorics, and mathematical physics. The volume is based on the INdAM Workshop Affine, Vertex and W-algebras, held in Rome from 11 to 15 December 2017. It will be of interest to all researchers in the field.

Lie Algebras And Related Topics

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Author : Daniel J. Britten
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Lie Algebras And Related Topics written by Daniel J. Britten and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

As the Proceedings of the 1984 Canadian Mathematical Society's Summer Seminar, this book focuses on some advances in the theory of semisimple Lie algebras and some direct outgrowths of that theory. The following papers are of particular interest: an important survey article by R. Block and R. Wilson on restricted simple Lie algebras, a survey of universal enveloping algebras of semisimple Lie algebras by W. Borho, a course on Kac-Moody Lie algebras by I. G. Macdonald with an extensive bibliography of this field by Georgia Benkart, and a course on formal groups by M. Hazewinkel. Because of the expository surveys and courses, the book will be especially useful to graduate students in Lie theory, as well as to researchers in the field.

Introduction To Vertex Operator Algebras And Their Representations

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Author : James Lepowsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Introduction To Vertex Operator Algebras And Their Representations written by James Lepowsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applications. * Includes a number of new, original results and brings fresh perspective to important works of many other researchers in algebra, lie theory, representation theory, string theory, quantum field theory, and other areas of math and physics.

Lie Algebras And Related Topics

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Author : Georgia Benkart
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Lie Algebras And Related Topics written by Georgia Benkart and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Discusses the problem of determining the finite-dimensional simple Lie algebras over an algebraically closed field of characteristic $p>7$. This book includes topics such as Lie algebras of prime characteristic, algebraic groups, combinatorics and representation theory, and Kac-Moody and Virasoro algebras.

Lie Algebras Of Finite And Affine Type

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Author : Roger William Carter
language : en
Publisher: Cambridge University Press
Release Date : 2005-10-27

Lie Algebras Of Finite And Affine Type written by Roger William Carter and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-27 with Mathematics categories.

This book provides a thorough but relaxed mathematical treatment of Lie algebras.

Lie Algebras Vertex Operator Algebras And Their Applications

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Author : Yi-Zhi Huang
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Lie Algebras Vertex Operator Algebras And Their Applications written by Yi-Zhi Huang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.