Non-commutative Poisson algebra structures on the Lie algebra son(CQ)

被引:3
作者
Tong, Jie [1 ]
Jin, Quanqin
机构
[1] Shanghai Univ Elect Power, Dept Math & Phys, Shanghai 200090, Peoples R China
[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
关键词
extended affine Lie algebra; Poisson algebra; Leibniz law;
D O I
10.1142/S100538670700048X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Non-commutative Poisson algebras are the algebras having both an associative algebra structure and a Lie algebra structure together with the Leibniz law. In this paper, the non-commutative poisson algebra structures on so so(n)(C-Q) over tilde are determined.
引用
收藏
页码:521 / 536
页数:16
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