Conjugacy Classes in Algebraic Monoids

DOI10.2307/2000682zbMath0628.20051OpenAlexW4246655342MaRDI QIDQ3764357

Putcha, Mohan S.

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000682

zbMATH Keywords

inverse submonoidsconnected linear monoidreductive group of units

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Mappings of semigroups (20M15)

Related Items (8)

Conjugacy classes in the symplectic Renner monoid. ⋮ Asymptotic semigroups and two-sided weak orders ⋮ Idempotent conjugacy in monoids ⋮ Conjugacy Decomposition of Canonical and Dual Canonical Monoids ⋮ Nilpotent variety of a reductive monoid. ⋮ Cojugacy classes of semisimple elements, and irreducible representations of algebraic monoids ⋮ Monoids on groups with BN-pairs ⋮ Conjugacy decomposition of reductive monoids.

Cites Work

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• Reductive groups and regular semigroups
• A semigroup approach to linear algebraic groups
• Analogue of the Bruhat decomposition for algebraic monoids
• Reductive monoids are von Neumann regular
• Determinant functions on algebraic monoids
• Classification of Semisimple Algebraic Monoids
• Regular Linear Algebraic Monoids
• Green's relations on a connected algebraic monoid†
• Симметрическая полугруппа преоъраэований покрывается своими инверсными подполугруппами

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