3.9 Article

Embedding Novikov-Poisson algebras in Novikov-Poisson algebras of vector type

期刊

ALGEBRA AND LOGIC
卷 52, 期 3, 页码 236-249

出版社

SPRINGER
DOI: 10.1007/s10469-013-9237-6

关键词

Novikov algebra; Novikov-Poisson algebra; Jordan superalgebra; Kantor double; Poisson bracket; Jordan bracket

资金

  1. RFBR [11-01-00938-a]
  2. Federal Program Scientific and Scientific-Pedagogical Cadres of Innovative Russia [14.740.11.0346]

向作者/读者索取更多资源

It is proved that a Novikov-Poisson algebra whose associative commutative part contains at least one element that is not a zero divisor is embedded in a Novikov-Poisson algebra of vector type. As a consequence, the corresponding Jordan superalgebra is special.

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