Mirabolic affine Grassmannian and character sheaves

Details Mirabolic affine Grassmannian and character sheaves Mirabolic affine Grassmannian and character sheaves

2008-02-12

arxiv.org/abs/0802.1652v2

Mathematics

Algebraic Geometry

22 pages. The final version to appear in Selecta Math

Scientific paper

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 Hall-Littlewood basis of symmetric
functions, introduced by Shoji.

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