Non-commutative Poisson Algebra Structures on the Lie Algebra son(CQ)

• 来源期刊: 代数集刊(英文版)
• 关键词: extended affine Lie algebra Poisson algebra Leibniz law
• 年，卷（期）: 2007,（3）
• 页码范围: 521-536
• 页数: 16页
• 语种: 英文

摘要

Non-commutative Poisson algebras are the algebras having both an associativealgebra structure and a Lie algebra structure together with the Leibniz law.In this paper,the non-commutative poisson algebra structures on son(CQ) are determined.