# ePub Combinatorial Aspects of Lie Superalgebras download

# by Andrej A. Zolotykh,Alexander A. Mikhalev

Alexander A. Mikhalev, Andrej A. Zolotykh.

Alexander A. It is written primarily for mathematicians and scientists who do not have a background in the field of infinite dimensional Lie superalgebras, but who realize the potential uses of the results. Consequently, the discussions provided on the applications of Lie superalgebras theory are clear and comprehensive and, throughout the text, primary attention is given to algorithms and examples.

See if your friends have read any of Andrej A. Zolotykh's books. Alexander A. Andrej A. Zolotykh’s Followers. None yet. Zolotykh’s books. Combinatorial Aspects of Lie Superalgebras by.

oceedings{orialAO, title {Combinatorial Aspects of Lie Superalgebras}, author {Alexander A. Mikhalev and Andrej A. Zolotykh}, year {1995} }. Introduction Preliminaries: Lie Superalgebras. Color Lie Superalgebras. Universal Constructions. Group Actions on Free Lie Superalgebras. Linear Structure: Regular Words. Arrangements of Brackets. Bases of Free Color Lie Superalgebras. Dynkin-Specht-Wever Criterion. Equations in Free Lie Superalgebras. Algorithms and Examples. Free Subalgebras: Weak Algorithm.

It is written primarily for mathematicians and scientists who do not have a background in the field of infinite dimensional Lie superalgebras, but who realize the potential uses of the results.

Publications of Andrej Alexeevich Zolotykh. Classification of projective representations of finite Abelian groups. Combinatorial aspects of Lie superalgebras. CRC Press, Boca Raton, 1995. viii+260 pp. - Mikhalev . An inverse function theorem for free associative algebras over commutative rings. CRC Press Published June 9, 1995 Reference - 272 Pages ISBN 9780849389603 - CAT 8960. The examples illustrate theoretical results, and the algorithms, which can be used for symbolic calculations with Lie superalgebras, are based on basic and generally applicable rules and theorems.

Combinatorial Aspects of Lie Superalgebras.

Using Fox differential calculus we study characteristics of orbits of elements of free colour Lie (p-)superalgebras under action of the automorphism groups of these algebras. In particular, an effective criterion for an element to be primitive and an algorithm for finding the rank of an element are obtained.

By Alexander A. Programs that have been developed by the authors for computation are included on a diskette at the back of the book, and complete directions for use are provided. Preliminaries: Lie Superalgebras.

Finitely generated solvable Lie algebras have an intermediate growth between polynomial and exponential. A. Mikhalev and A. Zolotykh, Combinatorial Aspects of Lie Superalgebras, CRC Press, Boca Raton (1995). 16. V. M. Petrogradsky, On some types of intermediate growth in Lie algebras, Usp.

A. Mikhalev, Differential Lie superalgebras. Zolotykh, Combinatorial Aspects of Lie Superalgebras. Uspekhi Mat. Nauk 48 (1993), no. 5, 179-180. CRC Press, Boca Raton, New York, 1995. 31. Zolotykh, An ~nverse function theorem for free Lie algebras over commutative rings. 2 (1995), no. 3, 213-220.

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