Acta mathematica scientia, Series B >
NON-COMMUTATIVE POISSON ALGEBRA STRUCTURES ON LIE ALGEBRA sln (Cq) WITH NULLITY M
Received date: 2011-04-14
Revised date: 2012-12-16
Online published: 2013-09-20
Supported by
The Project is supported by NSF of China (11071187), Innovation Program of Shanghai Municipal Education Commission (09YZ336).
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
TONG Jie , JIN Quan-Qin . NON-COMMUTATIVE POISSON ALGEBRA STRUCTURES ON LIE ALGEBRA sln (Cq) WITH NULLITY M[J]. Acta mathematica scientia, Series B, 2013 , 33(5) : 1485 -1498 . DOI: 10.1016/S0252-9602(13)60098-3
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