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

DOI10.1006/jabr.1996.6872zbMath0879.20035OpenAlexW4210257768MaRDI QIDQ1355566

Lex E. Renner, Zhuo Li

Publication date: 27 January 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6872

zbMATH Keywords

idempotentsreductive groupsgroups of unitsfinite monoidssimple algebraic groupsmaximal torireductive algebraic monoidslattices of \(\mathcal J\)-classes

Mathematics Subject Classification ID

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

Related Items

Infinite-dimensional reductive monoids associated to highest weight representations of Kac-Moody groups, Algebraic Monoids and Renner Monoids, Orders of the Renner monoids., Types of reductive monoids, The lattice of \(\mathcal J\)-classes of \(({\mathcal J},\sigma)\)-irreducible monoids. II, The classification of (J, σ)-irreducible monoids of typeA₄, The Orbit Structures of (, σ)-Irreducible Monoids

Cites Work

• Toroidal embeddings. I
• The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids
• Classification of Semisimple Algebraic Monoids
• The Canonical Compactification of a Finite Group of Lie Type
• Endomorphisms of linear algebraic groups
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