Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (5): 1485-1498.doi: 10.1016/S0252-9602(13)60098-3

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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).

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

CLC Number: 

  • 17B65
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