Acta mathematica scientia,Series B

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POISSON ALGEBRA STRUCTURES ON sp2l(CQ) WITH NULLITY m

Jin Quanqin; Tong Jie   

  1. Department of Mathematics, Tongji University, Shanghai 200092, China
  • Received:2005-05-24 Revised:2006-01-09 Online:2007-07-20 Published:2007-07-20
  • Contact: Jin Quanqin

Abstract:

Noncommutative Poisson algebras are the algebras having both an
associative algebra structure and a Lie algebra structure together
with the Leibniz law. In this article, the noncommutative Poisson
algebra structures on sp$_{2\ell}(\widetilde{\C}_Q)$ are determined.

Key words: Noncommutative Poisson algebras, Leibniz law

CLC Number: 

  • 17B65
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