A semigroup approach to linear algebraic groups. II: Roots

DOI10.1016/0022-4049(86)90142-8zbMath0578.20056OpenAlexW2015175180MaRDI QIDQ1066282

Putcha, Mohan S.

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90142-8

zbMATH Keywords

rootsidempotentsparabolic subgroupsgroup of unitsBorel subgroupmaximal torusalgebraic monoid

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)

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Analogue of the Bruhat decomposition for algebraic monoids ⋮ Connected algebraic monoids ⋮ The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids ⋮ Algebraic Monoids and Renner Monoids ⋮ Classification of Semisimple Algebraic Monoids ⋮ Regular Linear Algebraic Monoids ⋮ Monoids on groups with BN-pairs

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