Analogues of Weyl's formula for reduced enveloping algebras
Abstract
In this note we study simple modules for a reduced enveloping algebra Uchi(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.
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