Geodesic
Notes on Harish-Chandra Cells of (sp(2n, C), GL(n, C))-Modules
Leticia Barchini1
1Mathematics Department, Oklahoma State University, Stillwater, OK 74078, U.S.A.
Journal of Lie Theory, Tome 31 (2021) no. 1, pp. 189-220

Voir la notice de l'article provenant de la source Heldermann Verlag

We fix (G,K) = (Sp(2n, C), GL(n, C))). Cells of Harish-Chandra modules partition the set of irreducible Harish-Chandra modules having the same infinitesimal character as the trivial representation. Irreducible modules in a cell form a basis of a representation of the complex Weyl group. These representations are the Harish-Chandra cells representations. The point of these notes is two-fold. We give closed formulae for the number of isomorphic cell representations. In Section 5 we give a parametrization of Harish-Chandra cells. We use our results to compute the number of Unipotent representations attached to even nilpotent orbits.
Classification : 22E47
Mots-clés : Coherent continuation, Lusztig left cells

Leticia Barchini  1

1 Mathematics Department, Oklahoma State University, Stillwater, OK 74078, U.S.A. 
Leticia Barchini. Notes on Harish-Chandra Cells of (sp(2n, C), GL(n, C))-Modules. Journal of Lie Theory, Tome 31 (2021) no. 1, pp. 189-220. http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a9/
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