arXiv:math/0107173 Abstract

arXiv:math/0107173 [math.RT]Abstract References Reviews Resources

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

Published 2001-07-24, updated 2002-01-25Version 2

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.

Comments: Revised version, 38 pages; same content, improved exposition

Journal: J. Algebra 261 (2003), no. 1, 102--144

Categories: math.RT, math.CO

Subjects: 20G40, 20C15

Keywords: irreducible representations, general result, explicit formulas, frobenius map, finite index

Tags: journal article

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