Mirabolic affine Grassmannian and character sheaves
Abstract
We compute the Frobenius trace functions of mirabolic character sheaves defined over a finite field. The answer is given in terms of the character values of general linear groups over the finite field, and the structure constants of multiplication in the mirabolic HallLittlewood basis of symmetric functions, introduced by Shoji.
 Publication:

arXiv eprints
 Pub Date:
 February 2008
 arXiv:
 arXiv:0802.1652
 Bibcode:
 2008arXiv0802.1652F
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Combinatorics
 EPrint:
 22 pages. The final version to appear in Selecta Math