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Algebra i logika, 2008, Volume 47, Number 2, Pages 186–202 (Mi al354)  
This article is cited in 18 scientific papers (total in 18 papers)

Novikov–Poisson algebras and associative commutative derivation algebras

V. N. Zhelyabina, A. S. Tikhovb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
Full-text PDF (196 kB) Citations (18)
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Abstract: We describe Novikov–Poisson algebras in which a Novikov algebra is not simple while its corresponding associative commutative derivation algebra is differentially simple. In particular, it is proved that a Novikov algebra is simple over a field of characteristic not 2 iff its associative commutative derivation algebra is differentially simple. The relationship is established between Novikov–Poisson algebras and Jordan superalgebras.
Keywords: Novikov algebra, Lie algebra, derivation algebra, Jordan superalgebra.
Received: 11.03.2007
English version:
Algebra and Logic, 2008, Volume 47, Issue 2, Pages 107–117
DOI: https://doi.org/10.1007/s10469-008-9002-4
Bibliographic databases:
UDC: 512.554
Language: Russian
Citation: V. N. Zhelyabin, A. S. Tikhov, “Novikov–Poisson algebras and associative commutative derivation algebras”, Algebra Logika, 47:2 (2008), 186–202; Algebra and Logic, 47:2 (2008), 107–117
Citation in format AMSBIB
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