The characters of the finite conformal sympletctic group, CSp(4,q)

DOI10.1080/00927878208822782zbMath0492.20024OpenAlexW2051031194MaRDI QIDQ3953973

Ken-ichi Shinoda

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822782

zbMATH Keywords

parabolic subgroupssymplectic formWeil representationscharacter tableconformal symplectic groupGelfand-Graev representation

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05)

Related Items (8)

Representations of finite groups ⋮ Decomposition numbers of \(\mathrm{SO}_7(q)\) and \(\mathrm{Sp}_6(q)\). ⋮ Parahoric restriction for \(\mathrm{GSp}(4)\) ⋮ The Gelfand–Graev representation of GSp(4,𝔽_q) ⋮ Irreducible characters of \(\mathrm{GSp}(4, q)\) and dimensions of spaces of fixed vectors ⋮ Uno's Invariant Conjecture for the Finite Symplectic Group Sp₄(q) in the Defining Characteristic ⋮ A first guide to the character theory of finite groups of Lie type ⋮ Unnamed Item

Cites Work

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• The characters of Weil representations associated to finite fields
• Representations of reductive groups over finite fields
• Weil representations of finite classical groups

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