Analogues of Weyl's Formula for Reduced Enveloping Algebras
Humphreys, J. E.
Experiment. Math., Tome 11 (2002) no. 3, p. 567-573 / Harvested from Project Euclid
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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.
Publié le : 2002-05-14
Classification:  Weyl dimension formula,  reduced enveloping algebra,  affine Weyl group,  Kazhdan-Lusztig cells,  17B10,  17B45,  17B50,  20G05 
@article{1057864665,
     author = {Humphreys, J. E.},
     title = {Analogues of Weyl's Formula for Reduced Enveloping Algebras},
     journal = {Experiment. Math.},
     volume = {11},
     number = {3},
     year = {2002},
     pages = { 567-573},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1057864665}
}

Humphreys, J. E. Analogues of Weyl's Formula for Reduced Enveloping Algebras. Experiment. Math., Tome 11 (2002) no. 3, pp.  567-573. http://gdmltest.u-ga.fr/item/1057864665/