Compact Lie groups and their representations, by D. P. Zelobenko. [Translated from the Russian by Israel Program for Scientific Translations]

Format:

Book

Author/Creator:

Zhelobenko, D. P. (Dmitriĭ Petrovich)

Series:

Translations of Mathematical Monographs, 2472-5137 ; v. 40

Standardized Title:

Kompaktnye gruppy Li i ikh predstavlenii︠a︡. English

Language:

English

Subjects (All):

Lie groups.

Representations of Lie groups.

Physical Description:

1 online resource (viii, 448 p. : illus.)

Place of Publication:

Providence, American Mathematical Society, 1973.

System Details:

Mode of access : World Wide Web

Contents:

Preface Topological groups. Lie groups Linear groups Fundamental problems of representation theory Compact Lie groups. Global theorem The infinitesimal method in representation theory Analytic continuation Irreducible representations of the group $\mathrm {U}(n)$ Tensors and Young diagrams Casimir operators Indicator systems and the Gelfand-Cetlin basis Characters Tensor product of two irreducible representations of $\mathrm {U}(n)$ Basic types of Lie algebras and Lie groups Classification of compact and reductive Lie algebras Compact Lie groups in the large Description of irreducible finite-dimensonal representations Infinitesimal theory (characters, weights, Casimir operators) Some problems of spectral analysis for finite-dimensional representations

Notes:

Translation of Kompaktnye gruppy Li i ikh predstavlenii︠a︡.

Bibliography: p. 433-443.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Zhelobenko, D. P. Compact Lie groups and their representations,

ISBN:

9781470444556 (online)

Access Restriction:

Restricted for use by site license.