Decomposition of gelfand-graev characters of gl3(q)

DOI10.1080/00927877608822112zbMath0356.20051OpenAlexW2037065030MaRDI QIDQ4129001

Bomshik Chang

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1080/00927877608822112

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items

THE IRREDUCIBLE REPRESENTATIONS OF THE HECKE ALGEBRAS CONSTRUCTED FROM THE GELFAND-GRAEV REPRESENTATIONS OF GL(3, q) AND U(3, q) ⋮ On gamma factors for representations of finite general linear groups ⋮ On refined Bruhat decompositions and endomorphism algebras of Gelfand-Graev representations ⋮ Darstellungen von \(GL(3,F_ q)\) und Gaußsche Summen ⋮ Notes on the norm map between the Hecke algebras of the Gelfand-Graev representations of \(\text{GL}(2,q^2)\) and \(\text{U}(2,q)\). ⋮ REPRESENTATIONS OF THE HECKE ALGEBRA FOR GL₄(q) ⋮ On problems concerning the Bruhat decomposition and structure constants of Hecke algebras of finite Chevalley groups ⋮ A Further Refinement of the Bruhat Decomposition ⋮ Finite Euclidean graphs and Ramanujan graphs ⋮ On the irreducible components of a Gelfand-graev representation of a finite Chevalley group ⋮ A skein-like multiplication algorithm for unipotent Hecke algebras ⋮ Unitary Kloosterman sums and the Gelfand-Graev representation of \(GL_2\)

Cites Work

• On centralizer rings and characters of representations of finite groups
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• Lectures on Chevalley Groups
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)
• Proof of a conjecture of S. Chowla