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arxiv: 0802.1652 · v3 · submitted 2008-02-12 · 🧮 math.AG · math.CO

Mirabolic affine Grassmannian and character sheaves

classification 🧮 math.AG math.CO
keywords charactermirabolicfieldfinitefunctionssheavesaffineanswer
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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.

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