Idempotent cross-sections of J-classes

DOI10.1007/BF02572823zbMath0507.20034OpenAlexW2077930346MaRDI QIDQ1837284

Putcha, Mohan S.

Publication date: 1983

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134595

zbMATH Keywords

idempotentsWeyl groupgroup of unitsalgebraic semigroupscross-section latticelattice of regular J-classesconnected algebraic monoid

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Mappings of semigroups (20M15)

Related Items (13)

Analogue of the Bruhat decomposition for algebraic monoids ⋮ Classification of semisimple varieties ⋮ The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids ⋮ Irreducible representations of semisimple algebraic groups and supersolvable lattices. ⋮ Idempotent lattices, Renner monoids and cross section lattices of the special orthogonal algebraic monoids. ⋮ Classification of Semisimple Algebraic Monoids ⋮ Regular Linear Algebraic Monoids ⋮ THE RENNER MONOIDS AND CELL DECOMPOSITIONS OF THE SYMPLECTIC ALGEBRAIC MONOIDS ⋮ The Maximal Chains of the Extended Bruhat Orders on the  × -Orbits of an Infinite Renner Monoid ⋮ Algebraic monoids with a dense group of units ⋮ Monoids on groups with BN-pairs ⋮ A semigroup approach to linear algebraic groups. II: Roots ⋮ Various Forms of Generating Subsemigroups in Algebraic Monoids

Cites Work

• Unnamed Item
• Reductive groups and regular semigroups
• A semigroup approach to linear algebraic groups
• Reductive monoids are von Neumann regular
• Linear algebraic semigroups
• The J-class structure of connected algebraic monoids
• On Linear Algebraic Semigroups
• Connected Algebraic Monoids
• Green's relations on a connected algebraic monoid†

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