The Canonical Compactification of a Finite Group of Lie Type

DOI10.2307/2154324zbMath0787.20039OpenAlexW4249621654MaRDI QIDQ4695370

Putcha, Mohan S., Lex E. Renner

Publication date: 12 May 1994

Full work available at URL: https://doi.org/10.2307/2154324

zbMATH Keywords

maximal subgroupsgroup of unitsirreducible representationsfinite groups of Lie typemodular representationscomplex representationscomplete reducibilitycuspidal representationsfinite monoidone-dimensional representationsfinite monoids of Lie typesandwich matrices

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Semigroups of transformations, relations, partitions, etc. (20M20) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

MONOIDS WITH IDEMPOTENT CROSS-SECTIONS ⋮ The lattice of \(\mathcal J\)-classes of \(({\mathcal J},\sigma)\)-irreducible monoids ⋮ Centralizer of an idempotent in a reductive monoid ⋮ Idempotent conjugacy in monoids ⋮ Algebraic Monoids and Renner Monoids ⋮ Conjugacy Decomposition of Canonical and Dual Canonical Monoids ⋮ Monoid Hecke algebras ⋮ The \(H\)-polynomial of a semisimple monoid. ⋮ Sandwich Matrices, Solomon Algebras, and Kazhdan-Lusztig Polynomials ⋮ Bruhat-Chevalley order in reductive monoids. ⋮ Complex representations of finite monoids. II: Highest weight categories and quivers ⋮ The lattice of \(\mathcal J\)-classes of \(({\mathcal J},\sigma)\)-irreducible monoids. II ⋮ Canonical semigroups. ⋮ Möbius function on cross-section lattices. ⋮ Invariant algebra and cuspidal representations of finite monoids ⋮ Canonical Cellular Decomposition for 𝒥-Irreducible Monoids ⋮ Monoid deformations and group representations ⋮ Modular representations of finite monoids of Lie type ⋮ Hecke algebras and semisimplicity of monoid algebras ⋮ Semigroups and weights for group representations

Cites Work

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• Classification of Semisimple Rank One Monoids
• Classification of Semisimple Algebraic Monoids
• Complex Representations of Matrix Semigroups
• Stable decompositions of classifying spaces of finite abelianp-groups
• Endomorphisms of linear algebraic groups
• Matrix Representations of Completely Simple Semigroups
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