Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Bombay Lect High Weight Repres Infin Dimen Lie Algeb

Bombay Lect High Weight Repres Infin Dimen Lie Algeb

Kac V

Paperback

Series: Advanced Mathematical Physics, Book 2

AlgebraPhysics

ISBN10: 9971503964
ISBN13: 9789971503963
Publisher: World Scientific Publishing Company
Published: Apr 11 1988
Pages: 160
Weight: 0.48
Height: 0.34 Width: 6.00 Depth: 9.00
Language: English

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 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∞ 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.

1 different editions

Also available

Also from

Kac V

View All

Also in

Algebra

View All