Identities of algebras and their representations / Yu.P. Razmyslov.

Format:

Book

Author/Creator:

Razmyslov, I︠U︡. P. (I︠U︡riĭ Pitrimovich)

Series:

Translations of Mathematical Monographs, 2472-5137 ; v. 138

Standardized Title:

Tozhdestva algebr i ikh predstavleniĭ. English

Language:

English

Russian

Subjects (All):

Lie algebras.

Representations of algebras.

Physical Description:

1 online resource (xiii, 318 p.)

Place of Publication:

Providence, R.I. : American Mathematical Society, c1994.

System Details:

Mode of access : World Wide Web

Contents:

Chapter I. Preliminary results Chapter II. Characters and $\alpha $-functions on 2-words and varieties of representations of Lie algebras distinguished by them Chapter III. $\alpha $-functions related to the killing form and to irreducible representations of semisimple Lie algebras. Central polynomials of irreducible representations of reductive Lie algebras Chapter IV. $\alpha $-functions related to full matrix algebras. Trace identities and central polynomials of full matrix algebras $M_n$ and matrix superalgebras $M_{n,k}$ Chapter V. The $\alpha $-function related to representations of the simple three-dimensional Lie algebra $\mathfrak {g}$ and its applications to varieties of groups and associative algebras Chapter VI. Varieties generated by Lie algebras of Cartan type Chapter VII. Algebraic supplements Historical survey

Notes:

Includes bibliographical references (p. 313-318).

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

Description based on print version record.

Other Format:

Print version: Razmyslov, I︠U︡. P. Identities of algebras and their representations /

ISBN:

9781470445461 (online)

Access Restriction:

Restricted for use by site license.