The Maximal Chains of the Extended Bruhat Orders on the  × -Orbits of an Infinite Renner Monoid

DOI10.1080/00927870701247120zbMath1131.20028arXivmath/0310341OpenAlexW2019956298MaRDI QIDQ5756482

Claus Mokler

Publication date: 4 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0310341

zbMATH Keywords

Weyl groupsCoxeter systemsreductive groupspartial ordersKac-Moody groupswonderful compactificationlinear algebraic monoidsreductive monoidsBruhat decompositionsBruhat cellsBruhat-Chevalley ordersPutcha lattices of cross-sectionsfine Bruhat intersectionsextended Bruhat ordersinfinite Renner monoids

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20) Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (4)

Infinite-dimensional reductive monoids associated to highest weight representations of Kac-Moody groups ⋮ An algebraic geometric model of an action of the face monoid associated to a Kac-Moody group on its building ⋮ Generic Hecke algebra for Renner monoids. ⋮ Actions of the face monoid associated to a Kac-Moody group on its building

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