Big cells and LU factorization in reductive monoids

DOI10.1090/S0002-9939-02-06515-2zbMath1006.20048OpenAlexW1531925966MaRDI QIDQ4547022

Putcha, Mohan S.

Publication date: 20 August 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06515-2

zbMATH Keywords

products of matricesreductive groupsunit groupsBorel subgroupsreductive monoidsBruhat-Chevalley orders\(LU\) factorizationsbig cellsopposite Borel subgroups

Mathematics Subject Classification ID

Factorization of matrices (15A23) Linear algebraic groups over arbitrary fields (20G15) General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field
• A semigroup approach to linear algebraic groups
• Analogue of the Bruhat decomposition for algebraic monoids
• Analogue of the Bruhat-Chevalley order for reductive monoids
• Analogue of the Bruhat decomposition for algebraic monoids. II: The length function and the trichotomy
• Shellability in reductive monoids