The Multiplicity of the Steinberg Representation of GL n F q in the Symmetric Algebra

DOI10.2307/2045639zbMath0595.20040OpenAlexW4246400060MaRDI QIDQ3726338

Nicholas J. Kuhn, Stephen A. Mitchell

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045639

zbMATH Keywords

parabolic subgroupssymmetric algebraTits buildingsSteinberg representationmultiplicity series

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Steenrod algebra (55S10)

Related Items (11)

Modular invariants for some finite modular pseudo-reflection groups ⋮ Modular invariants of finite gluing groups ⋮ The Poisson Kernel for Drinfeld Modular Curves ⋮ The Steinberg representation ⋮ (\(q,t\))-analogues and \(GL_{n}({\mathbb{F}}_{q})\) ⋮ The \(\text{GL}_n(q)\)-module structure of the symmetric algebra around the Steinberg module. ⋮ Module structures and the derived functors of iterated loop functors on unstable modules over the Steenrod algebra ⋮ A Hecke-equivariant decomposition of spaces of Drinfeld cusp forms via representation theory, and an investigation of its subfactors ⋮ Stanley-Reisner rings and the occurrence of the Steinberg representation in the hit problem ⋮ Modular invariants of parabolic subgroups of general linear groups ⋮ Finite modular forms

This page was built for publication: The Multiplicity of the Steinberg Representation of GL n F q in the Symmetric Algebra