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2002 Analogues of Weyl's Formula for Reduced Enveloping Algebras
J. E. Humphreys
Experiment. Math. 11(4): 567-573 (2002).

Abstract

In this paper, we study simple modules for a reduced enveloping algebra $\uxg$ in the critical case when $\chi \in \frg^*$ 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.

Citation

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J. E. Humphreys. "Analogues of Weyl's Formula for Reduced Enveloping Algebras." Experiment. Math. 11 (4) 567 - 573, 2002.

Information

Published: 2002
First available in Project Euclid: 10 July 2003

zbMATH: 1162.17302
MathSciNet: MR1969647

Subjects:
Primary: 17B10
Secondary: 17B45, 17B50, 20G05

Rights: Copyright © 2002 A K Peters, Ltd.

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Vol.11 • No. 4 • 2002
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