[1825 days] Lie Algebras, Part 2: Finite and Infinite Dimensional Lie Algebras and Applications in Physics

[1825 days] Lie Algebras, Part 2: Finite and Infinite Dimensional Lie Algebras and Applications in Physics

0 đánh giá

CHI TIẾT SẢN PHẨM

Mã sản phẩm:

9780444828361

Tồn kho:

Còn hàng

Danh mục

Mua eTextbooks trực tuyến

Nhà xuất bản:

Elsevier S & T

Trạng thái:

Có hàng

Loại bìa:

Page Fidelity

Ngôn ngữ:

English

Tác giả:

de Kerf, E.A.; Bäuerle, G.G.A.; ten Kroode, A.P.E.

Special Price 5,969,000 VNĐ

Còn 100,000,000,000,000,000 VNĐ nữa bạn sẽ được miễn phí giao hàngTìm hiểu thêm

Thời gian giao hàng Xem thêm

Chính sách đổi trả Xem thêm

Số lượng

Mô tả
Đánh giá (0)

This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I.

The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as the Casimir operator and the Weyl-Kac character formula, which are specific for Kac-Moody algebras.

The applications have a wide range. First, the book contains an exposition on the role of finite-dimensional semisimple Lie algebras and their representations in the standard and grand unified models of elementary particle physics. A second application is in the realm of soliton equations and their infinite-dimensional symmetry groups and algebras. The book concludes with a chapter on conformal field theory and the importance of the Virasoro and Kac-Moody algebras therein.