Hecke algebras for the basic characters of the unitriangular group
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Publication:4452187
DOI10.1090/S0002-9939-03-07143-0zbMath1064.20005MaRDI QIDQ4452187
Publication date: 12 February 2004
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Hecke algebrasirreducible constituentslinear charactersregular characterunitriangular groups over finite fieldsorthogonal sums of basic characters
Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05)
Related Items (13)
Super-characters of finite unipotent groups of types \(B_n\), \(C_n\) and \(D_n\). ⋮ Combinatorial methods of character enumeration for the unitriangular group. ⋮ Iterative character constructions for algebra groups. ⋮ Supercharacters of the adjoint group of a finite radical ring ⋮ Supercharacter theory for the Borel contraction of the group \(\mathrm{GL}(n, \mathbb{F}_q)\) ⋮ Representations of McLain groups ⋮ Supercharacters of unipotent and solvable groups ⋮ Irreducible constituents of minimal degree in supercharacters of the finite unitriangular groups. ⋮ New supercharacter theory for Sylow subgroups in orthogonal and symplectic groups ⋮ Representations of Gelfand-Graev type for the unitriangular group. ⋮ Supercharacter theory for groups of invertible elements of reduced algebras ⋮ A supercharacter theory for involutive algebra groups. ⋮ Invariants of the coadjoint action on the basic varieties of the unitriangular group
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