2 citations · 12 across the 11 of their papers we have counts for
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Gelfand-Kirillov dimensions and associated varieties of highest weight modules
Zhanqiang Bai, Wei Xiao, Xun Xie
In this paper, we present a uniform formula of Lusztig's -functions on classical Weyl groups. Then we obtain an efficient algorithm for the Gelfand-Kirillov dimensions…
Jantzen coefficients and simplicity of generalized Verma modules
Wei Xiao, Ailin Zhang
The main purpose of the paper is to establish new tools in the study of . We introduce the Jantzen coefficients of generalized Verma modules. It comes fro…
Jantzen coefficients and radical filtrations for generalized Verma modules
Jun Hu, Wei Xiao
In this paper we give a sum formula for the radical filtration of generalized Verma modules in any (possibly singular) blocks of parabolic BGG category which can be viewed as a gen…
Blocks of the category in type
Jieren Hu, Wei Xiao, Ailin Zhang
In this paper, we determine the blocks of associated with semisimple Lie algebras of type .
Janzten coefficients and Blocks of category
Wei Xiao
The BGG category and its generalization play essential roles in representation theory and have led to far-reaching work. Some elementary pr…