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Representation Theory of the Virasoro Algebra (Hardcover, 2011 ed.) Loot Price: R3,160
Discovery Miles 31 600
Representation Theory of the Virasoro Algebra (Hardcover, 2011 ed.): Kenji Iohara, Yoshiyuki Koga

Representation Theory of the Virasoro Algebra (Hardcover, 2011 ed.)

Kenji Iohara, Yoshiyuki Koga

Series: Springer Monographs in Mathematics

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Loot Price R3,160 Discovery Miles 31 600 | Repayment Terms: R296 pm x 12*

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The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics. This book describes some fundamental facts about the representation theory of the Virasoro algebra in a self-contained manner. Topics include the structure of Verma modules and Fock modules, the classification of (unitarizable) Harish-Chandra modules, tilting equivalence, and the rational vertex operator algebras associated to the so-called minimal series representations.

Covering a wide range of material, this book has three appendices which provide background information required for some of the chapters. The authors organize fundamental results in a unified way and refine existing proofs. For instance in chapter three, a generalization of Jantzen filtration is reformulated in an algebraic manner, and geometric interpretation is provided. Statements, widely believed to be true, are collated, and results which are known but not verified are proven, such as the corrected structure theorem of Fock modules in chapter eight.

This book will be of interest to a wide range of mathematicians and physicists from the level of graduate students to researchers.

General

Imprint: Springer London
Country of origin: United Kingdom
Series: Springer Monographs in Mathematics
Release date: November 2010
First published: 2011
Authors: Kenji Iohara • Yoshiyuki Koga
Dimensions: 235 x 155 x 34mm (L x W x T)
Format: Hardcover
Pages: 474
Edition: 2011 ed.
ISBN-13: 978-0-85729-159-2
Categories: Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Applied mathematics > General
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LSN: 0-85729-159-9
Barcode: 9780857291592

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