线上学术报告

Title: Standard multipartitions and a combinatorial affine

Schur-Weyl duality

Speaker: 万金奎 教授（北京理工大学）

Abstract

We introduce the notion of standard (Kleshchev) multipartitions and establish a one-to-one correspondence between standard multipartitions and irreducible representations with integral weights for the affine Hecke algebra of type A with a parameter q which is not a root of unity. We then extend the correspondence to all Kleshchev multipartitions for Ariki-Koike algebras of integral type. By the affine Schur–Weyl duality, we further extend this to a correspondence between standard multipartitions and Drinfeld multipolynomials of integral type whose associated irreducible polynomial representations completely determine all irreducible polynomial representations for the quantum loop algebra associated to gl_n. We show, in particular, the notion of standard multipartitions gives rise to a combinatorial description of the affine Schur–Weyl duality in terms of a column-reading vs. row-reading of residues of a multipartition. This is based on a joint work with Jie Du.

报告人简介：万金奎，北京理工大学数学与统计学院，教授，主要从事李代数、量子群、赫克代数及相关代数的表示理论以及相应的代数组合理论的研究，在Adv. Math.，Proc. LMS，Trans. AMS等国际著名学术期刊发表十余篇论文。目前主持国家自然科学基金优秀青年基金项目。

北京时间：2022年10月26日（周三）下午2:00-3:00

腾讯会议：461-687-441  会议密码:  202210

联系人:  惠昌常 陈红星