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

被引：0
作者：
A. S. Zakharov
机构：
[1] Sobolev Institute of Mathematics,
[2] Novosibirsk State University,undefined
来源：
Algebra and Logic | 2013年 / 52卷
关键词：
Novikov algebra; Novikov–Poisson algebra; Jordan superalgebra; Kantor double; Poisson bracket; Jordan bracket;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：236 / 249
页数：13
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