Analogues of Weyl's formula for reduced enveloping algebras
Representation Theory
2010-03-17 v1
Abstract
In this note we study simple modules for a reduced enveloping algebra U_chi(g) in the critical case when chi element of 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.
Keywords
Cite
@article{arxiv.math/0207195,
title = {Analogues of Weyl's formula for reduced enveloping algebras},
author = {J. E. Humphreys},
journal= {arXiv preprint arXiv:math/0207195},
year = {2010}
}
Comments
AMS-LaTeX, 10 pages, 2 figures