Bruhat-Chevalley order in reductive monoids.

DOI10.1023/B:JACO.0000047291.42015.a6zbMath1076.20058MaRDI QIDQ703036

Putcha, Mohan S.

Publication date: 19 January 2005

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

projectionsWeyl groupsEulerian posetsorbitslinear algebraic monoidsreductive monoidsRenner monoidsBruhat-Chevalley ordersBruhat-Renner decompositionscross-section lattices

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20) Combinatorics of partially ordered sets (06A07)

Related Items (10)

R-POLYNOMIALS OF FINITE MONOIDS OF LIE TYPE ⋮ Asymptotic semigroups and two-sided weak orders ⋮ Conjugacy Decomposition of Canonical and Dual Canonical Monoids ⋮ Nilpotent variety of a reductive monoid. ⋮ ROOT SEMIGROUPS IN REDUCTIVE MONOIDS ⋮ Orders of the Renner monoids. ⋮ REPRESENTATIONS OF THE RENNER MONOID ⋮ Weak order on complete quadrics ⋮ Conjugacy decomposition of reductive monoids. ⋮ PARABOLIC MONOIDS I: STRUCTURE

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