NON-COMMUTATIVE POISSON ALGEBRA STRUCTURES ON LIE ALGEBRA sl_n(_q) WITH NULLITY M  

作　　者：佟洁 靳全勤 

机构地区：[1]School of Mathematics and Physics, Shanghai University of Electric Power [2]Department of Mathematics, Tongji University

出　　处：《Acta Mathematica Scientia》2013年第5期1485-1498,共14页数学物理学报（B辑英文版）

基　　金：supported by NSF of 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.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：extended affine Lie algebras Poisson algebras Leibniz law 

分 类 号：O152.5[理学—数学]