学术报告报告题目：Modular representation theory of affine and cyclotomic Yokonuma-Hecke algebras
报 告 人：万金奎教授 (北京理工大学)
报告时间：2021年05月27日（星期四）下午 14:30-15:30
报告地点：腾讯会议: 371 856 866 入会密码: 210527
邀 请 人：常智华副教授
欢迎广大师生前往！
数学学院
2021年05月25日
报告摘要：
We explore the modular representation theory of affine and cyclotomic Yokonuma-Hecke algebras. We provide an equivalence between the category of finite dimensional representations of the affine (resp. cyclotomic) Yokonuma-Hecke algebra and that of an algebra which is a direct sum of tensor products of affine Hecke algebras of type A (resp. Ariki-Koike algebras). As one of the applications, the irreducible representations of affine and cyclotomic Yokonuma-Hecke algebras are classified over an algebraically closed field of characteristic p. Secondly, the modular branching rules for these algebras are obtained; moreover, the resulting modular branching graphs for cyclotomic Yokonuma-Hecke algebras are identified with crystal graphs of irreducible integrable representations of affine Lie algebras of type A. This is a joint work with Weideng Cui.