数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (5): 1485-1498.doi: 10.1016/S0252-9602(13)60098-3

• 论文 • 上一篇    下一篇

NON-COMMUTATIVE POISSON ALGEBRA STRUCTURES ON LIE ALGEBRA sln (Cq) WITH NULLITY M

佟洁|靳全勤   

  1. School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 201300, China; Department of Mathematics, Tongji University, Shanghai 200092, China
  • 收稿日期:2011-04-14 修回日期:2012-12-16 出版日期:2013-09-20 发布日期:2013-09-20
  • 基金资助:

    The Project is supported by NSF of China (11071187), Innovation Program of Shanghai Municipal Education Commission (09YZ336).

NON-COMMUTATIVE POISSON ALGEBRA STRUCTURES ON LIE ALGEBRA sln (Cq) WITH NULLITY M

 TONG Jie, JIN Quan-Qin   

  1. School of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 201300, China; Department of Mathematics, Tongji University, Shanghai 200092, China
  • Received:2011-04-14 Revised:2012-12-16 Online:2013-09-20 Published:2013-09-20
  • Supported by:

    The Project is 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.

关键词: extended affine Lie algebras, Poisson algebras, Leibniz law

Abstract:

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.

Key words: extended affine Lie algebras, Poisson algebras, Leibniz law

中图分类号: 

  • 17B65