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Home >> Seminar

Jantzen Coefficients and radical filtrations for generalized Verma modules

肖维 博士(深圳大学)
Wednesday, April 29th, 2020, 4:30 PM  腾讯会议 房间号:458 779 383
 
报告人简介: 肖维博士,毕业于香港科技大学。现任职于深圳大学,主要从事李群、李代数的表示论研究。

报告内容简介:We give a sum formula for the radical filtration of generalized Verma modules in any (possibly singular) integral blocks of parabolic BGG category which can be viewed as a generalization of Jantzen sum formula for Verma modules in the usual BGG category O. Combined with Jantzen coefficients, we determine the radical filtrations for all basic generalized Verma modules. The proof makes use of the graded version of parabolic BGG category. Explicit formulae for the graded decomposition numbers and inverse graded decomposition numbers of generalized Verma modules in any (possibly singular) integral blocks of the parabolic BGG category are also given. This is a joint work with Prof. Hu Jun.

主持人:罗栗 副教授
   
 
 
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