首页   系科介绍   师资队伍   科研团队   本科生教学   研究生培养   招聘信息   联系我们

Previous Next
 
首页 >> 学术报告

Co-Poisson structures on polynomial Hopf algebras

楼琦博士(复旦大学)
2016-6-13 14:00--15:00  闵行数学楼401室
 
摘要:The Hopf dual of any Poisson Hopf algebra H is proved to be a co-Poisson Hopf algebra provided H is noetherian. Without noetherian assumption, unlike it is claimed in literature, the statement does not hold. It is proved that there is no nontrivial Poisson Hopf structure on the universal enveloping algebra of a non-abelian Lie algebra. So the polynomial Hopf algebra, viewed as the universal enveloping algebra of a finite-dimensional abelian Lie algebra, is considered. The Poisson Hopf structures on polynomial Hopf algebras are exactly linear Poisson structures. The co-Poisson structures on polynomial Hopf algebras are characterized. Some correspondences between co-Poisson and Poisson structures are also established.
   
 
 
快捷链接 >>
 
系内资源 >>
 
教学园地 >>
 
  校外链接 >>    上海市核心数学与基础数学重点实验室    华师大-纽大联合数学中心    上海市数学会    中国数学会    美国数学会    欧洲数学会  
         
       Copyright 2012 All rights reserved    Department of Mathematics, East China Normal University    Tel: 86-21-54342609