2 papers
math.RT2005
Representations of reduced enveloping algebras and cells in the affine Weyl group
James E. Humphreys
Let G be a semisimple algebraic group over an algebraically closed field of characteristic p>0, and let g be its Lie algebra. The crucial Lie algebra representations to understand…
math.RT2002
Analogues of Weyl's formula for reduced enveloping algebras
J. E. Humphreys
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 Ja…