The character table of the Hecke algebra \({\mathcal H}(GL_{2n}(\mathbb{F}_ q),Sp_{2n}(\mathbb{F}_ q))\)

DOI10.1016/0021-8693(90)90224-CzbMath0761.20013MaRDI QIDQ1812869

Sung-Yell Song, Eiichi Bannai, Noriaki Kawanaka

Publication date: 25 June 1992

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

zbMATH Keywords

irreducible charactersHecke algebracharacter tablemaximal torusfinite general linear groupGreen polynomialsconjugate classesbasic functions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

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Cites Work

• Representations of reductive groups over finite fields
• On the character table of the association scheme \(Sp(4,q)/Sz(q)\)
• Orbits, invariants, and representations associated to involutions of reductive groups
• Die Einschränkung der Charaktere von \(GL(n,q)\) auf \(GL(n - 1,q)\)
• The Characters of the Finite General Linear Groups
• MODELS FOR THE COMPLEX REPRESENTATIONS OF THE GROUPS $ \mathrm{GL}(n,\,q)$
• Opération de groupes réductifs dans un type de cônes presque homogènes
• The Character Tables of Paige's Sample Moufang Loops and Their Relationship to the Character Tables of Psl(2, q )
• Orbits and Representations Associated with Symmetric Spaces
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