Infinite Dimensional Lie Groups
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Infinite Dimensional Lie Algebras
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Author : Victor G. Kac
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09
Infinite Dimensional Lie Algebras written by Victor G. Kac 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 2013-11-09 with Mathematics categories.
Infinite Dimensional Lie Algebras
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Author : Victor G. Kac
language : en
Publisher: Birkhäuser
Release Date : 2012-12-16
Infinite Dimensional Lie Algebras written by Victor G. Kac and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-16 with Mathematics categories.
Infinite Dimensional Lie Groups
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Author : Hideki Ōmori
language : en
Publisher:
Release Date : 1997
Infinite Dimensional Lie Groups written by Hideki Ōmori and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Infinite-dimensional manifolds categories.
Infinite Dimensional Lie Algebras And Groups
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Author : V G Kac
language : en
Publisher: World Scientific
Release Date : 1989-07-01
Infinite Dimensional Lie Algebras And Groups written by V G Kac and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-07-01 with categories.
Contents:Integrable Representation of Kac-Moody Algebras: Results and Open Problems (V Chari & A Pressley)Existence of Certain Components in the Tensor Product of Two Integrable Highest Weight Modules for Kac-Moody Algebras (SKumar)Frobenius Action on the B-Cohomology (O Mathieu)Certain Rank Two Subsystems of Kac-Moody Root Systems (J Morita)Lie Groups Associated to Kac-Moody Lie Algebras: An Analytic Approach (E Rodriguez-Carrington)Almost Split-K-Forms of Kac-Moody Algebras (G Rousseau)Global Representations of the Diffeomorphism Groups of the Circle (F Bien)Path Space Realization of the Basic Representation of An(1) (E Date et al)Boson-Fermion Correspondence Over (C De Concini et al)Classification of Modular Invariant Representations of Affine Algebras (V G Kac & M Wakimoto)Standard Monomial Theory for SL2 (V Lakshmibai & C S Seshadri)Some Results on Modular Invariant Representations (S Lu)Current Algebras in 3+1 Space-Time Dimensions (J Mickelson)Standard Representations of An(1) (M Primc)Representations of the Algebra Uq(sI(2)), q-Orthogonal Polynomials and Invariants of Links (A N Kirillov & N Yu Reshetikhin)Infinite Super Grassmannians and Super Plücker Equations (M J Bergvelt)Drinfeld-Sokolov Hierarchies and t-Functions (H J Imbens)Super Boson-Fermion Correspondence of Type B (V G Kac & J W van de Leur)Prym Varieties and Soliton Equations (T Shiota)Polynomial Solutions of the BKP Hierarchy and Projective Representations of Symmetric Groups (Y You)Toward Generalized Macdonald's Identities (D Bernard)Conformal Theories with Non-Linearly Extended Virasoro Symmetries and Lie Algebra Classification (A Bilal & J-LGervais)Extended Conformal Algebras from Kac-Moody Algebras (P Bouwknegt)Meromorphic Conformal Field Theory (P Goddard)Local Extensions of the U(1) Current Algebra and Their Positive Energy Representations (R R Paunov & I T Todorov)Conformal Field Theory on Moduli Family of Stable Curves with Gauge Symmetries (A Tsuchiya & Y Yamada) Readership: Mathematicians and mathematical physicists
Infinite Dimensional Lie Groups
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :
Infinite Dimensional Lie Groups written by 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.
Lectures On Infinite Dimensional Lie Algebra
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Author : Minoru Wakimoto
language : en
Publisher: World Scientific
Release Date : 2001-10-26
Lectures On Infinite Dimensional Lie Algebra written by Minoru Wakimoto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-10-26 with Mathematics categories.
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 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.
Infinite Dimensional Lie Transformation Groups
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Author : H. Omori
language : en
Publisher: Springer
Release Date : 2006-11-15
Infinite Dimensional Lie Transformation Groups written by H. Omori and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Developments And Trends In Infinite Dimensional Lie Theory
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Author : Karl-Hermann Neeb
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-17
Developments And Trends In Infinite Dimensional Lie Theory written by Karl-Hermann Neeb 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 2010-10-17 with Mathematics categories.
This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups. Contributors: B. Allison, D. Beltiţă, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf.
Cohomology Of Infinite Dimensional Lie Algebras
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Author : D B Fuks
language : en
Publisher:
Release Date : 1986-12-31
Cohomology Of Infinite Dimensional Lie Algebras written by D B Fuks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-31 with categories.
Infinite Dimensional Lie Algebras
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Author : Minoru Wakimoto
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Infinite Dimensional Lie Algebras written by Minoru Wakimoto 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 2001 with Mathematics categories.
This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ...... root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. Continuing on, the main subjects of the book are the structure (real and imaginary root systems) of and the character formula for Kac-Moody superalgebras, which is explained in a very general setting. Only elementary linear algebra and group theory are assumed. Also covered is modular property and asymptotic behavior of integrable characters of affine Lie algebras. The exposition is self-contained and includes examples. The book can be used in a graduate-level course on the topic.