Bombay lectures on highest weight representations of infinite dimensional lie algebras /

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Bibliographic Details
Author / Creator:Kac, Victor G., 1943- author.
Edition:Second edition.
Imprint:Hackensack, New Jersey : World Scientific, [2013]
©2014
Description:1 online resource (xii, 237 pages)
Language:English
Series:Advanced series in mathematical physics ; vol. 29
Advanced series in mathematical physics ; v. 29.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11202335
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Other authors / contributors:Raina, A. K., author.
Rozhkovskaya, Natasha, author.
ISBN:9789814522205
9814522201
9789814522182
981452218X
9789814522199
9814522198
Notes:Includes bibliographical references (pages 229-234) and index.
Print version record.
Summary:The first edition of this book is a collection of a series of lectures given by Professor Victor Kac at the TIFR, Mumbai, India in December 1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations. The first is the canonical commutation relations of the infinite dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gl 8 of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kas.
Other form:Print version: Kac, Victor G., 1943- Bombay lectures on highest weight representations of infinite dimensional lie algebras. Second edition. Hackensack, New Jersey : World Scientific, [2013] 9789814522182