The monoid generated by projections in an algebraic group

DOI10.1016/0021-8693(90)90043-NzbMath0684.20031OpenAlexW2039312753MaRDI QIDQ1825280

Putcha, Mohan S.

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90043-n

zbMATH Keywords

idempotentsmaximal subgroupsWeyl groupregular monoidprincipal idealssimple algebraic groupBorel subgroupsidempotent separating congruencesunipotent radicalparabolic subgroupfundamental generating set

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (1)

Projections in Kac-Moody Lie Algebras

Cites Work

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• A semigroup approach to linear algebraic groups
• The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids
• Buildings of spherical type and finite BN-pairs
• Groupes reductifs
• On regular semigroups
• On the structure of semigroups
• Classification of Semisimple Algebraic Monoids

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