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

Noncommutative lifts of Schur's Q-functions

黎允楠 博士(华南理工大学量子代数中心)
2015年03月30日(周一) 下午2:50-3:50  闵行数学楼102报告厅
 
青年学术论坛邀请报告:

摘要:Schur's Q-functions are a family of symmetric functions first introduced by Schur to describe irreducible spin characters of symmetric groups. Here we mainly construct a lift of Schur's Q-functions to the peak algebra of the symmetric group, called the noncommutative Schur Q-functions, and extract from them a new natural basis with several nice properties such as the positive right-Pieri rule, combinatorial expansion, etc. Dually, we get a basis of the Stembridge algebra of peak functions refining Schur's P-functions in a simple way, and expect that such basis has a correspondence in the representation theory of 0-Hecke-Clifford algebras. We also define another kind of lift to the Malvenuto-Reutenauer algebra via the Sagan-Worley insertion.
   
 
 
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