Orbit decompositions of orthogonal monoids and the orders of finite orthogonal monoids

DOI10.1007/s00233-017-9864-7zbMath1456.20069OpenAlexW2599165704MaRDI QIDQ1640004

You'an Cao, Jie Lei, Zhenheng Li

Publication date: 13 June 2018

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

Full work available at URL: https://doi.org/10.1007/s00233-017-9864-7

zbMATH Keywords

Weyl groupBruhat decompositionclassical monoidorthogonal monoid

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20) Algebraic monoids (20M32)

Related Items (1)

The orbits of generalized orthogonal monoids under the action of their unit groups

Cites Work

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• The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field
• Polynomial representations, algebraic monoids, and Schur algebras of classical type
• Idempotent lattices, Renner monoids and cross section lattices of the special orthogonal algebraic monoids.
• The Symplectic Monoid

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