Mirabolic affine Grassmannian and character sheaves
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Travkin_Mirabolic.pdf
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345.09 KB
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Author(s)
Ginzburg, Victor
Travkin, Roman
Finkelberg, Michael
Date Issued
March 2009
Journal
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
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 Hall–Littlewood basis of symmetric functions, introduced by Shoji.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00029-009-0509-x
