Supercharacters of the Sylow \(p\)-subgroups of the finite symplectic and orthogonal groups.

DOI10.2140/pjm.2009.239.201zbMath1172.20006arXiv0804.4285OpenAlexW2074211038MaRDI QIDQ1011614

Ana Margarida Neto, Carlos A. M. André

Publication date: 8 April 2009

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.4285

zbMATH Keywords

irreducible charactersfinite symplectic groupsfinite orthogonal groupssupercharactersbasic sets of positive rootsfinite unipotent groups

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

Supercharacters for parabolic contractions of finite groups of 𝐴,𝐵,𝐶,𝐷 Lie types ⋮ Representations of Unitriangular Groups ⋮ The Hopf monoid on nonnesting supercharacters of pattern groups ⋮ Combinatorial Hopf algebra of superclass functions of type \(D\). ⋮ A supercharacter theory for Sylow p-subgroups of the Steinberg triality groups ⋮ Strong forms of linearization for Hopf monoids in species ⋮ Groups with one or two super-Brauer character theories ⋮ Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings ⋮ Nonzero coefficients in restrictions and tensor products of supercharacters of \(U_n(q)\). ⋮ Supercharacters of unipotent groups defined by involutions. ⋮ Orbit method for \(p\)-Sylow subgroups of finite classical groups ⋮ Super-Brauer characters and super-regular classes. ⋮ Supercharacter theories for Sylow \(p\)-subgroups of the Ree groups ⋮ New supercharacter theory for Sylow subgroups in orthogonal and symplectic groups ⋮ A supercharacter theory for the Sylow \(p\)-subgroups of the finite symplectic and orthogonal groups. ⋮ Supercharacter Theories Constructed by the Method of Little Groups ⋮ Two supercharacter theories for the parabolic subgroups in orthogonal and symplectic groups ⋮ A supercharacter theory for involutive algebra groups. ⋮ Supercharacter theories for Sylow p-subgroups of Lie type G₂ ⋮ Super-π-Brauer Characters and Super-π-Regular Classes