Spherical functions of the symmetric space 𝐺(𝔽_{𝕢²})/𝔾(𝔽_{𝕢})

DOI10.1090/S1088-4165-01-00119-4zbMath0986.20042OpenAlexW1830372417MaRDI QIDQ2761192

Anthony Henderson

Publication date: 17 December 2001

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4165-01-00119-4

zbMATH Keywords

algebraic groupsspherical functionscharacter sheavesconnected reductive algebraic groupsperverse sheaves

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Harmonic analysis and spherical functions (43A90)

Related Items

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two multiplicity-free permutation representations of the general linear group \(GL(n,q^ 2)\)
• Green functions and character sheaves
• Erratum to: Character sheaves. V
• Representations of reductive groups over finite fields
• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• Equivariant sheaves and functors
• The character table of the Hecke algebra \({\mathcal H}(GL_{2n}(\mathbb{F}_ q),Sp_{2n}(\mathbb{F}_ q))\)
• Character sheaves and almost characters of reductive groups. I, II
• Characters of Reductive Groups over a Finite Field. (AM-107)
• The Characters of the Finite General Linear Groups
• On MacDonald's Symmetric Functions