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Structure Of The Level One Standard Modules For The Affine Lie Algebras


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


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 1 1


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



Structure Of The Level One Standard Modules For The Affine Lie Algebras


Structure Of The Level One Standard Modules For The Affine Lie Algebras
DOWNLOAD
Author : Marly Mandia
language : en
Publisher:
Release Date : 1987

Structure Of The Level One Standard Modules For The Affine Lie Algebras written by Marly Mandia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.




Memoirs 362 Mandia


Memoirs 362 Mandia
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Author : Marly Mandia
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

Memoirs 362 Mandia 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 Lie algebras categories.




Structure Of The Level One Standard Modules For The Affine Lie Algebras Bl 1 F4 1 And G2 1


Structure Of The Level One Standard Modules For The Affine Lie Algebras Bl 1 F4 1 And G2 1
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Author : Marly Mandia
language : en
Publisher:
Release Date : 1986

Structure Of The Level One Standard Modules For The Affine Lie Algebras Bl 1 F4 1 And G2 1 written by Marly Mandia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Lie algebras categories.




Structure Of The Level One Standard Modules For The Affine Lie Algebras B Subscript L 1 F4 1 And G2 1


Structure Of The Level One Standard Modules For The Affine Lie Algebras B Subscript L 1 F4 1 And G2 1
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Author : Frank Rimlinger
language : en
Publisher:
Release Date : 1987

Structure Of The Level One Standard Modules For The Affine Lie Algebras B Subscript L 1 F4 1 And G2 1 written by Frank Rimlinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Clifford algebras categories.




Introduction To Vertex Operator Algebras And Their Representations


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


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 Part 2


Lie Algebras Part 2
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Author : E.A. de Kerf
language : en
Publisher: Elsevier
Release Date : 1997-10-30

Lie Algebras Part 2 written by E.A. de Kerf and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-30 with Science categories.


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.



Vertex Operator Algebras And The Monster


Vertex Operator Algebras And The Monster
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Author : Igor Frenkel
language : en
Publisher: Academic Press
Release Date : 1989-05-01

Vertex Operator Algebras And The Monster written by Igor Frenkel and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-01 with Mathematics categories.


This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."