The Gelfand–Graev representation of GSp(4,𝔽q)

DOI10.1080/00927872.2018.1485228zbMath1472.20095OpenAlexW4245335082MaRDI QIDQ4634362

Jeffery Breeding-Allison, Julianne G. Rainbolt

Publication date: 8 May 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1485228

zbMATH Keywords

finite groupsGreen functionsrepresentationsGelfand-Graev representation

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Cites Work

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• Irreducible characters of \(\mathrm{GSp}(4, q)\) and dimensions of spaces of fixed vectors
• On the Gelfand-Graev representations of a reductive group over a finite field
• The characters of the finite conformal sympletctic group, CSp(4,q)
• The Characters of the Finite Symplectic Group Sp(4,q)
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

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