PARABOLIC SUBGROUPS AND CUSPIDAL REPRESENTATIONS OF FINITE MONOIDS

DOI10.1142/S0218196791000031zbMath0752.20034OpenAlexW1986853375MaRDI QIDQ4713361

Okniński, Jan, Putcha, Mohan S.

Publication date: 25 June 1992

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196791000031

zbMATH Keywords

parabolic subgroupsgroup of unitsirreducible representationssimple representationssemisimplicitysemigroup algebrasymmetric inverse semigroupmatrix semigroupcuspidal representationsgroup of Lie typefinite monoidmonoid representations

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Semigroup rings, multiplicative semigroups of rings (20M25) Representation of semigroups; actions of semigroups on sets (20M30)

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Parabolic subgroups and algebraic monoids., Sandwich Matrices, Solomon Algebras, and Kazhdan-Lusztig Polynomials, Reciprocity in character theory of finite semigroups, Complex representations of finite monoids. II: Highest weight categories and quivers, Invariant algebra and cuspidal representations of finite monoids