FINE BRUHAT INTERSECTIONS FOR REDUCTIVE MONOIDS

DOI10.1142/S0218196706003451zbMath1127.20047OpenAlexW2037014663MaRDI QIDQ3430316

Dewey T. Taylor

Publication date: 21 March 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196706003451

zbMATH Keywords

Weyl groupsreductive groupspartial orderslinear algebraic monoidsreductive monoidsRenner monoidsBruhat decompositionsquasi-ordersBruhat-Chevalley ordersBruhat-Renner decompositionsPutcha lattices of cross-sectionsfine Bruhat intersections

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 (1)

Bruhat-Chevalley order on \(\mathcal J\)-classes of reductive monoids.

Cites Work

• Unnamed Item
• A semigroup approach to linear algebraic groups
• On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells
• Analogue of the Bruhat decomposition for algebraic monoids
• Analogue of the Bruhat-Chevalley order for reductive monoids
• On the structure of semigroups
• Double Bruhat cells and total positivity

This page was built for publication: FINE BRUHAT INTERSECTIONS FOR REDUCTIVE MONOIDS