Novikov-Poisson algebras and associative commutative derivation algebras

• Autores: V. N. Zhelyabin, A. S. Tikhov
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 47, Nº. 2, 2008, págs. 107-117
• Idioma: inglés
• DOI: 10.1007/s10469-008-9002-4
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• Resumen

  • 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.