POISSON ALGEBRA STRUCTURES ON sp2l(CQ) WITH NULLITY m

doi:10.1016/S0252-9602(07)60048-4

数学物理学报(英文版)

POISSON ALGEBRA STRUCTURES ON sp_2l(C_Q) WITH NULLITY m

靳全勤; 佟洁

同济大学数学系, 上海 200092

收稿日期:2005-05-24 修回日期:2006-01-09 出版日期:2007-07-20 发布日期:2007-07-20
通讯作者: 靳全勤
基金资助:
This work is partially supported by NNSF of China (10671124) and the Specialized Research Fund for the Doctoral Program of Higher Education (20040247024).

POISSON ALGEBRA STRUCTURES ON sp_2l(C_Q) WITH NULLITY m

Jin Quanqin; Tong Jie

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

摘要/Abstract

摘要：

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.

关键词: Noncommutative Poisson algebras, Leibniz law

Abstract:

Key words: Noncommutative Poisson algebras, Leibniz law

中图分类号:

17B65

靳全勤; 佟洁. POISSON ALGEBRA STRUCTURES ON sp_2l(C_Q) WITH NULLITY m[J]. 数学物理学报(英文版), 2007, 27(3): 473-490.

Jin Quanqin; Tong Jie. POISSON ALGEBRA STRUCTURES ON sp_2l(C_Q) WITH NULLITY m[J]. Acta mathematica scientia,Series B, 2007, 27(3): 473-490.

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