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Algebra i logika, 2007, Volume 46, Number 5, Pages 560–584 (Mi al315)  
This article is cited in 11 scientific papers (total in 11 papers)

The Chevalley and Costant theorems for Mal'tsev algebras

V. N. Zhelyabina, I. P. Shestakovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Universidade de São Paulo, Instituto de Matemática e Estatística
Full-text PDF (259 kB) Citations (11)
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Abstract: Centers of universal envelopes for Mal'tsev algebras are explored. It is proved that the center of the universal envelope for a finite-dimensional semisimple Mal'tsev algebra over a field of characteristic 0 is a ring of polynomials in a finite number of variables equal to the dimension of its Cartan subalgebra, and that universal enveloping algebra is a free module over its center. Centers of universal enveloping algebras are computed for some Mal'tsev algebras of small dimensions.
Keywords: Lie algebra, Mal'tsev algebra, bialgebra, universal enveloping algebra, primitive elements, center of algebra, Chevalley theorem, Costant theorem.
Received: 12.03.2007
English version:
Algebra and Logic, 2007, Volume 46, Issue 5, Pages 303–317
DOI: https://doi.org/10.1007/s10469-007-0031-1
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: V. N. Zhelyabin, I. P. Shestakov, “The Chevalley and Costant theorems for Mal'tsev algebras”, Algebra Logika, 46:5 (2007), 560–584; Algebra and Logic, 46:5 (2007), 303–317
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
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