PRESENTATION FOR RENNER MONOIDS

DOI10.1017/S0004972710000365zbMath1227.20059OpenAlexW2134685146MaRDI QIDQ3082542

Eddy Godelle

Publication date: 10 March 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972710000365

zbMATH Keywords

algebraic monoidsmonoid presentationslength functionsreductive monoidsRenner monoidsrook monoidsPutcha lattices of cross sections

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Free semigroups, generators and relations, word problems (20M05) Algebraic monoids (20M32)

Related Items (2)

Algebraic Monoids and Renner Monoids ⋮ Generic Hecke algebra for Renner monoids.

Cites Work

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• The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field
• The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids
• Analogue of the Bruhat-Chevalley order for reductive monoids
• Idempotent lattices, Renner monoids and cross section lattices of the special orthogonal algebraic monoids.
• The Iwahori algebra of \(\mathbf M_n(\mathbf F_q)\). A presentation and a representation on tensor space.
• Linear algebraic monoids.
• Representations of the rook monoid.
• THE RENNER MONOIDS AND CELL DECOMPOSITIONS OF THE SYMPLECTIC ALGEBRAIC MONOIDS
• THE BRAID ROOK MONOID

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