Non-Commutative Poisson Algebra Structures on Lie Algebra ■
Jie TONT Department of Mathematics and Physics,Shanghai University of Electric Power Shanghai 200090,P.R.China Quan Qin JIN Department of Mathematics,Tongji University,Shanghai 200092,P.R.China
Non-commutative Poisson algebras are the algebras having both an asso- ciative algebra structure and a Lie algebra structure together with the Leibniz law.In this paper the non-commutative Poisson algebra structures on ■ are determined.
Jie TONT Department of Mathematics and Physics,Shanghai University of Electric Power Shanghai 200090,P.R.China Quan Qin JIN Department of Mathematics,Tongji University,Shanghai 200092,P.R.China.
Non-Commutative Poisson Algebra Structures on Lie Algebra ■. Acta Mathematica Sinica, Chinese Series, 2009(01): 19-34 https://doi.org/10.12386/A2009sxxb0003