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NON-COMMUTATIVE POISSON ALGEBRA STRUCTURES ON LIE ALGEBRA sln(Cq^-) WITH NULLITY M
引用本文:佟洁,靳全勤.NON-COMMUTATIVE POISSON ALGEBRA STRUCTURES ON LIE ALGEBRA sln(Cq^-) WITH NULLITY M[J].数学物理学报(B辑英文版),2013(5):1485-1498.
作者姓名:佟洁  靳全勤
作者单位:[1]School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 201300, China [2]Department of Mathematics, Tongji University, Shanghai 200092, China
基金项目:The Project is supported by NSF Qf China (11071187), Innovation Program of Shanghai Municipal Education Commission (09YZ336).
摘    要:Non-commutative Poisson algebras are the algebras having both an associa- tive algebra structure and a Lie algebra structure together with the Leibniz law. In this paper, the non-commutative poisson algebra structures on the Lie algebras sln(Cq^-) are determined.

关 键 词:非交换代数  代数结构  李代数    莱布尼茨
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