Cojugacy classes of semisimple elements, and irreducible representations of algebraic monoids

DOI10.1080/00927878808823667zbMath0678.20038OpenAlexW2165432532MaRDI QIDQ3834250

Lex E. Renner

Publication date: 1988

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878808823667

zbMATH Keywords

highest weightirreducible representationsmaximal torusrational representationdominant chambersemisimple algebraic monoidspolyhedral root system

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20) Representation theory for linear algebraic groups (20G05) Representation of semigroups; actions of semigroups on sets (20M30) Generalizations (algebraic spaces, stacks) (14A20)

Related Items

The blocks of solvable algebraic monoids ⋮ Conjugacy classes in the symplectic Renner monoid. ⋮ Algebraic Monoids and Renner Monoids ⋮ ROOT SEMIGROUPS IN REDUCTIVE MONOIDS ⋮ Modular representations of finite monoids of Lie type ⋮ GEOMETRY OF KOTTWITZ–VIEHMANN VARIETIES ⋮ Representation Theory of Reductive Normal Algebraic Monoids

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