Mirabolic affine Grassmannian and character sheaves
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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.
Date issued
2009-03Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Selecta Mathematica, New Series
Publisher
Birkhäuser Basel
Citation
M. Finkelberg, V. Ginzburg, and R. Travkin, “Mirabolic affine Grassmannian and character sheaves,” Selecta Mathematica, New Series, vol. 14, May. 2009, pp. 607-628.
Version: Author's final manuscript
ISSN
1420-9020
1022-1824