Highest weight modules and non-standard Gelfand-Tsetlin subalgebras

发布时间：2024-12-06 作者：浏览次数：

Speaker:	Luis Enrique Ramirez	DateTime:	2024年12月07日（周六）上午：11:00-12:00
Brief Introduction to Speaker: Luis Enrique Ramirez，Universidade Federal do ABC 教授。		Place:	国交2号楼315会议室
Abstract:The construction of relation gl(n)-modules has a combinatorial flavor, and has as main advantage the explicitness of the algebra action. The correspondence between relation modules and certain directed graphs allow us to get structural information about the modules via an action of the symmetric group on the corresponding graphs. In this talk I relate the orbits of such action with realizations of a highest weight module with respect to different Gelfand-Tsetlin subalgebras.