Analogues of Weyl’s Formula for Reduced Enveloping Algebras

Authors

J. E. Humphreys, University of Massachusetts - Amherst

Publication Date

2002

Abstract

In this note we study simple modules for a reduced enveloping algebra Ux (g) in the critical case when X E 2 g^x 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.

Comments

This paper was harvested from ArXiv.org and ArXiv identifier is arXiv:0207195v1

Recommended Citation

Humphreys, J. E., "Analogues of Weyl’s Formula for Reduced Enveloping Algebras" (2002). Mathematics and Statistics Department Faculty Publication Series. 13.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/13