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Highest weight representations of infinite dimensional lie algebra (notice n° 8866)

000 -LEADER
fixed length control field 02214nam a2200301 u 4500
001 - CONTROL NUMBER
control field UNI0000337
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20161123114400.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130702s1987 XX eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789971503956 (paperback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9971503956 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency DCLC
040 ## - CATALOGING SOURCE
Modifying agency IMIST
Description conventions AFNOR
041 1# - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.55
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kac, Victor G.
245 #0 - TITLE STATEMENT
Title Highest weight representations of infinite dimensional lie algebra
Statement of responsibility, etc Victor G. Kac.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc [S.l.]
Name of publisher, distributor, etc Wspc
Date of publication, distribution, etc 1987.
300 ## - PHYSICAL DESCRIPTION
Extent 145 p.
Dimensions 22 cm.
490 1# - SERIES STATEMENT
Series statement Advanced series in mathematical physics
Volume number/sequential designation Vol. 2.
500 ## - GENERAL NOTE
General note This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnationsThe 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? of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These algebras appear in the lectures twice, in the reduction theory of soliton equations (Kp ? KdV) and in the Sugawara construction as the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra. . This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite-dimensional Lie algebras; and to physicists, this theory is turning into an important component of such domains of theoretical physics as soliton theory, theory of two-dimensional statistical models, and string theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Infinite dimensional Lie algebras
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Infinite dimensional Lie algebras
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Lie algebras
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Lie algebras
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum theory
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum theory
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