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Identities of Algebras and their Representations
About this Title
Yu. P. Razmyslov, Moscow State University. Translated by A M Shtern
Publication: Translations of Mathematical Monographs
Publication Year:
1994; Volume 138
ISBNs: 978-0-8218-4608-7 (print); 978-1-4704-4546-1 (online)
DOI: https://doi.org/10.1090/mmono/138
MathSciNet review: MR1291603
MSC: Primary 16R10; Secondary 16-02, 16R30, 17B30, 17B60, 20F50
ReadershipTable of Contents
Front/Back Matter
Chapters
- 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