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学术报告:Slim cyclotomic q-Schur algebras

发布时间:2018年01月09日 浏览次数:发布者:mathky

报告人:杨桂玉副教授

              山东理工大学

题目:Slim cyclotomic q-Schur algebras

时间:20180115日下午16:30

地点:海韵实验楼105

摘要:A slim cyclotomic q-Schur algebra is a endomorphism algebra of certain permutation module over the cyclotomic Hecke algebra ( or the Ariki-Koike algebra ).

  In this talk, We will construct a new basis for a slim cyclotomic q-Schur algebra via symmetric polynomials in Jucys-Murphy operators of the cyclotomic Hecke algebra. We show that this basis, labelled by matrices, is not the double coset basis when the cyclotomic Hecke algebra has type $B$, but coincides with the double coset basis for the corresponding group algebra. This talk is based on joint work with Bangming Deng and Jie Du..

联系人:林亚南教授、阮诗佺助理教授

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