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

作者：Zakharov A S^*

来源：Algebra and Logic, 2013, 52(3): 236-249.

DOI：10.1007/s10469-013-9237-6

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

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.

• 出版日期2013-7