The cross section lattices and Renner monoids of the odd special orthogonal algebraic monoids

DOI10.1007/s002330010151zbMath1018.20054OpenAlexW2084140850MaRDI QIDQ1865684

Zhenheng Li

Publication date: 27 March 2003

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

Full work available at URL: https://doi.org/10.1007/s002330010151

zbMATH Keywords

Weyl groupsidempotentsspecial orthogonal groupslinear algebraic monoidsRenner monoidsadmissible subsetscross-section latticesreductive algebraic monoidsodd special orthogonal algebraic monoids

Mathematics Subject Classification ID

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

Related Items (4)

Infinite-dimensional reductive monoids associated to highest weight representations of Kac-Moody groups ⋮ Algebraic Monoids and Renner Monoids ⋮ Idempotent lattices, Renner monoids and cross section lattices of the special orthogonal algebraic monoids. ⋮ Orders of the Renner monoids.

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