Analogues of Weyl's Formula for Reduced Enveloping Algebras
Analogues of Weyl's Formula for Reduced Enveloping Algebras
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DOI：
10.1080/10586458.2002.10504707
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发表时间：
2002-01
影响因子：
0.5
通讯作者：
J. Humphreys
中科院分区：
文献类型：
--
作者：
J. Humphreys
本文研究了约化包络代数UX（g）在临界情形下的单模，当X ∈ g* 是“幂零的”. Jantzen计算的一些维数公式建议修改版本的Weyl维数公式，基于仿射Weyl群的某些反射超平面，这些超平面可能与Kazhdan-Lusztig细胞有关。
In this paper, we study simple modules for a reduced enveloping algebra U x (g) in the critical case when X ∈ g* is “nilpotent.” Some dimension formulas computed by Jantzen suggest modified versions of Weyl's dimension formula, based on certain reflecting hyperplanes for the affine Weyl group which might be associated to Kazhdan–Lusztig cells.