The decomposition of the permutation character \(1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}\)

DOI10.1016/S0021-8693(03)00271-0zbMath1031.20040MaRDI QIDQ1400178

Hajime Tanaka, Eiichi Bannai

Publication date: 13 August 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

general linear groupsdouble cosetsirreducible charactersirreducible constituentsmultiplicity-free permutation characters

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (6)

\(\mathcal{P}\)-characters of \(\mathrm{PSL}(2,q)\) ⋮ Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents ⋮ Generating functions for real character degree sums of finite general linear and unitary groups ⋮ Finite Gel'fand pairs and their applications to probability and statistics ⋮ On some relatively cuspidal representations: cases of Galois and inner involutions on \(\mathrm{GL}_n\) ⋮ Appendix: On some Gelfand pairs and commutative association schemes.

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