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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Structure Of The Standard Modules For The Affine Lie Algebra A1 Superscript 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 A1 Superscript 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 $A_1^{(1)}$ has recently served as a source of new ideas in the representation theory of infinite-dimensional affine Lie algebras. In particular, several years ago it was discovered that $A_1^{(1)}$ and then a general class of affine Lie algebras could be constructed using operators related to the vertex operators of the physicists' string model. This book develops the calculus of vertex operators to solve the problem of constructing all the standard $A_1^{(1)}$-modules in the homogeneous realization. Aimed primarily at researchers in and students of Lie theory, the book's detailed and concrete exposition makes it accessible and illuminating even to relative newcomers to 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.
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.
Comprehensive Dissertation Index
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Author :
language : en
Publisher:
Release Date : 1989
Comprehensive Dissertation Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Dissertations, Academic categories.
Referativny Zhurnal
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Author :
language : en
Publisher:
Release Date : 1987
Referativny Zhurnal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 1986
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Dissertations, Academic categories.
Annihilating Fields Of Standard Modules Of Mathfrak Sl 2 Mathbb C Sim And Combinatorial Identities
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Author : Arne Meurman
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Annihilating Fields Of Standard Modules Of Mathfrak Sl 2 Mathbb C Sim And Combinatorial Identities written by Arne Meurman 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 1999 with Mathematics categories.
In this volume, the authors show that a set of local admissible fields generates a vertex algebra. For an affine Lie algebra $\tilde{\mathfrak g}$, they construct the corresponding level $k$ vertex operator algebra and show that level $k$ highest weight $\tilde{\mathfrak g}$-modules are modules for this vertex operator algebra. They determine the set of annihilating fields of level $k$ standard modules and study the corresponding loop $\tilde{\mathfrak g}$-module--the set of relations that defines standard modules. In the case when $\tilde{\mathfrak g}$ is of type $A^{(1)}_1$, they construct bases of standard modules parameterized by colored partitions, and as a consequence, obtain a series of Rogers-Ramanujan type combinatorial identities.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2007
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Modules And Algebras
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Author : Robert Wisbauer
language : en
Publisher: CRC Press
Release Date : 1996-05-15
Modules And Algebras written by Robert Wisbauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-15 with Mathematics categories.
Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.
Geometric Representation Theory And Extended Affine Lie Algebras
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Author : Erhard Neher
language : en
Publisher: American Mathematical Soc.
Release Date :
Geometric Representation Theory And Extended Affine Lie Algebras written by Erhard Neher 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 with Mathematics categories.
This text presents lectures given at the Fields Institute Summer School on Geometric Representation Theory and Extended Affine Lie Algebras held at the University of Ottawa in 2009. It provides a systematic account by experts of some of the developments in Lie algebras and representation theory in the last two decades.