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K^F-invariants in irreducible representations of G^F, when G=GL_n

Anthony Henderson
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Abstract

Using a general result of Lusztig, we give explicit formulas for the dimensions of K^F-invariants in irreducible representations of G^F, when G=GL_n, F:G->G is a Frobenius map, and K is an F-stable subgroup of finite index in G^theta for some involution theta:G->G commuting with F. The proofs use some combinatorial facts about characters of symmetric groups.

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Anthony Henderson. 2002-01-25. K^F-invariants in irreducible representations of G^F, when G=GL_n. https://arxiv.org/abs/math/0107173

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