学术报告

Dual Lie Bialgebra Structures of Poisson Types

阅读次数:1460

题目:Dual Lie Bialgebra Structures of Poisson Types
报告人:宋光艾 教授 (山东工商澳门新葡萄京888)
地点:致远楼108室
时间:2019年6月26日(周三) 10:00-11:00
摘要:Let A = F [x, y] be the polynomial algebra on two variables x, y over an algebraically closed field F of characteristic zero. Under the Poisson bracket, A is equipped with a natural Lie algebra structure. It is proven that the maximal good subspace of A* induced from the multiplication of the associative commutative algebra A coincides with the maximal good subspace of A* induced from the Poisson bracket of the Poisson Lie algebra A. Based on this, structures of dual Lie bialgebras of the Poisson type are investigated. As by-products, five classes of new infinite-dimensional Lie algebras are obtained.

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