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Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras

BOMBAY LECT HGHST WT RPRSNTNS INFINITE DMNSNL LIE ALG 2

Mathematics

Mathematics & Science

Algebra

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

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 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 Lie algebras appear in the lectures in connection to the Sugawara construction, which is 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.

POST SECONDARY FOUR YEAR

COLFR

COLJR

COLSO

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Half Title Page.
Advanced Series in Mathematical Physics.
Title Page.
Copyright Page.
Preface.
Preface to the Second Edition.
Contents.
1: Lecture 1.
2: Lecture 2.
3: Lecture 3.
4: Lecture 4.
5: Lecture 5.
6: Lecture 6.
7: Lecture 7.
8: Lecture 8.
9: Lecture 9.
10: Lecture 10.
11: Lecture 11.
12: Lecture 12.
13: Lecture 13.
14: Lecture 14.
15: Lecture 15.
16: Lecture 16.
17: Lecture 17.
18: Lecture 18.
References.
Index.

Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras.css-1p8rvzy{position:absolute;padding-left:8px;}

Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras