Classification of Semisimple Algebraic Monoids

DOI10.2307/2000177zbMath0589.20039OpenAlexW4250477075MaRDI QIDQ3717285

Lex E. Renner

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000177

zbMATH Keywords

linear representationsgroup of unitsroot systemsemisimple monoidscomplete and discriminating invariant

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Representation of semigroups; actions of semigroups on sets (20M30) Generalizations (algebraic spaces, stacks) (14A20) Linear algebraic groups and related topics (20G99)

Related Items

Analogue of the Bruhat decomposition for algebraic monoids, The Canonical Compactification of a Finite Group of Lie Type, Localization in equivariant operational \(K\)-theory and the Chang-Skjelbred property, The lattice of \(\mathcal J\)-classes of \(({\mathcal J},\sigma)\)-irreducible monoids, Rationally smooth algebraic monoids., Connected algebraic monoids, Analogue of the Bruhat-Chevalley order for reductive monoids, Classification of semisimple varieties, Completely regular algebraic monoids, The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids, Remarks on enveloping semigroups, Representations of Reductive Normal Algebraic Monoids, Algebraic Monoids and Renner Monoids, On the Borel submonoid of a symplectic monoid, Affinely spanned quasi-stochastic algebraic monoids, Irreducible representations of semisimple algebraic groups and supersolvable lattices., Hilbert series for torus actions, Idempotent lattices, Renner monoids and cross section lattices of the special orthogonal algebraic monoids., Equivariant cohomology of rationally smooth group embeddings, Incidence monoids: automorphisms and complexity, The \(H\)-polynomial of a semisimple monoid., Invariant convex subcones of the Tits cone of a linear Coxeter group, Classification of Semisimple Algebraic Monoids, Semigroup algebras of linear semigroups, Regular Linear Algebraic Monoids, Partial symmetry, reflection monoids and Coxeter groups., Conjugacy Classes in Algebraic Monoids, Bruhat-Chevalley order on \(\mathcal J\)-classes of reductive monoids., Monoid embeddings of symmetric varieties, The lattice of \(\mathcal J\)-classes of \(({\mathcal J},\sigma)\)-irreducible monoids. II, Monoids on groups with BN-pairs, The monoid generated by projections in an algebraic group, Algebraic monoids and group embeddings, Class Groups of Rank One Semisimple Monoids, Algebraic Monoids whose Nonunits are Products of Idempotents, Modular representations of finite monoids of Lie type, Universal completions of complex classical groups

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