Representations of monoids arising from finite groups of Lie type

DOI10.1090/S0002-9947-96-01621-2zbMath0859.20052OpenAlexW1488997344WikidataQ115285106 ScholiaQ115285106MaRDI QIDQ4890035

A. Salwa

Publication date: 9 April 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01621-2

zbMATH Keywords

parabolic subgroupsLevi factorsfinite groups of Lie typeirreducible modulessemigroup algebrascomplete reducibilitylinear algebraic monoidsfinite regular monoidsfinite monoids of Lie typesandwich matricesfull linear monoids

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Semigroups of transformations, relations, partitions, etc. (20M20) Semigroup rings, multiplicative semigroups of rings (20M25) Representations of finite groups of Lie type (20C33) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (2)

Idempotent conjugacy in monoids ⋮ Hecke algebras and semisimplicity of monoid algebras

Cites Work

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• The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field
• Induced cuspidal representations and generalised Hecke rings
• Classification of monoids of Lie type
• Monoids on groups with BN-pairs
• Complex Representations of Matrix Semigroups
• Semigroup Algebras of the Full Matrix Semigroup Over a Finite Field
• Sandwich Matrices, Solomon Algebras, and Kazhdan-Lusztig Polynomials
• Monoid Hecke algebras

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