A note on Renner monoids

2009/04/06 by Eddy Godelle, Godelle, Eddy
Mathematics · Computer Science · #Algebraic structures and combinatorial models #semigroups and automata theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.0904.0926

Abstract

We provide every Renner monoids with a monoid presentation, and we introduce a length function which extends the Coxeter length function.

Citations

• Die Fundamentalgruppe des Raumes der regul�ren Orbits einer endlichen komplexen Spiegelungsgruppe

Related

• The Adherence Order on Renner-Coxeter Monoids
• Representations of the Renner Monoid
• The 1882 Conjugacy Classes of the First Basic Renner Monoid of Type E₆
• The maximal chains of the extended Bruhat orders on the (W x W)-orbits of an infinite Renner monoid
• An asymmetric generalisation of Artin monoids