Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	胡维教授,北京师范大学
Inviter:	方明
Title:	Moving vectors and weight spaces of highest weight modules
Language:	Chinese
Time & Venue:	2024.01.16 10:40-11:40 思源楼S817
Abstract:	Recently, Yanbo Li and Xiangyu Qi introduced a new invariant of blocks of cyclotomic Hecke algebras to classify representation-finite blocks. In this talk, we define a vector for each weight space of irreducible highest weight modules for affine Kac-Moody algebra of type A. An interesting property of this vector is that the weight space is non-zero precisely when the vector is a vector of non-negative integers, in this case, it is exactly the moving vector of the corresponding cyclotomic Hecke algebra block via categorification. This is based on an ongoing work with Yanbo Li and Xiangyu Qi.