CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Combinatorial Representation Theory of J-Trivial Monoids Tom Denton, University of California-Davis
October 19, 2010 Math 220 2-3pm	Abstract The variety of J-trivial monoids does not enjoy the semi-simplicity of groups, but has other properties which make their representation theory approachable and inherently combinatorial. I will describe these combinatorics, and also present important examples of some J-trivial monoids, including the zero-Hecke monoid, the monoid of regressive order-preserving functions on a poset, and the upper-unitriangular matrices over the boolean semiring.

Combinatorial Representation Theory of J-Trivial Monoids

Tom Denton, University of California-Davis

October 19, 2010

Math 220

2-3pm

Abstract

The variety of J-trivial monoids does not enjoy the semi-simplicity of groups, but has other properties which make their representation theory approachable and inherently combinatorial. I will describe these combinatorics, and also present important examples of some J-trivial monoids, including the zero-Hecke monoid, the monoid of regressive order-preserving functions on a poset, and the upper-unitriangular matrices over the boolean semiring.