The lattice of \(\mathcal J\)-classes of \(({\mathcal J},\sigma)\)-irreducible monoids. II

DOI10.1006/jabr.1999.7947zbMath0940.20066OpenAlexW1963986233MaRDI QIDQ1818831

Zhuo Li

Publication date: 17 July 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7947

zbMATH Keywords

reductive groupsDynkin diagramsalgebraic monoidsunit groupslattices of \(\mathcal J\)-classes\(({\mathcal J},\sigma)\)-irreducible monoids

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (3)

Infinite-dimensional reductive monoids associated to highest weight representations of Kac-Moody groups ⋮ The classification of (J, σ)-irreducible monoids of typeA₄ ⋮ The Orbit Structures of (, σ)-Irreducible Monoids

Cites Work

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• The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids
• The lattice of \(\mathcal J\)-classes of \(({\mathcal J},\sigma)\)-irreducible monoids
• Classification of Semisimple Algebraic Monoids
• Lectures on Polytopes
• The Canonical Compactification of a Finite Group of Lie Type
• Endomorphisms of linear algebraic groups

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