Conjugacy decomposition of reductive monoids.

DOI10.1007/s00209-005-0779-8zbMath1095.20044OpenAlexW2056648455MaRDI QIDQ2574919

Putcha, Mohan S.

Publication date: 5 December 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0779-8

zbMATH Keywords

linear algebraic monoidsreductive monoidsRenner monoidsBruhat-Renner decompositionsconjugacy decompositions

Mathematics Subject Classification ID

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

Related Items (6)

Conjugacy classes in the symplectic Renner monoid. ⋮ Asymptotic semigroups and two-sided weak orders ⋮ Idempotent varieties of incidence monoids and bipartite posets ⋮ Idempotent conjugacy in monoids ⋮ Conjugacy Decomposition of Canonical and Dual Canonical Monoids ⋮ Nilpotent variety of a reductive monoid.

Cites Work

• Bruhat-Chevalley order in reductive monoids.
• A semigroup approach to linear algebraic groups
• Analogue of the Bruhat decomposition for algebraic monoids
• Analogue of the Bruhat-Chevalley order for reductive monoids
• Analogue of the Bruhat decomposition for algebraic monoids. II: The length function and the trichotomy
• Shellability in reductive monoids
• Conjugacy Classes in Algebraic Monoids
• Conjugacy Classes and Nilpotent Variety of a Reductive Monoid
• Conjugacy Classes in Algebraic Monoids II
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