Math Colloquium: Stuart Margolis: On Some Monoids Associated to Coxeter Groups
Sep 20, 2011
from 01:00 PM to 02:00 PM
|Contact Name||Pat Hooper|
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Prof. Stuart Margolis (Bar-Ilan University, Israel)
Title: On Some Monoids Associated to Coxeter Groups
These geometric and combinatorial objects play a crucial role in the representation theory of W and other connections between W, geometry and algebraic combinatorics. In recent years it has been recognized that both C(W) and the Bruhat order have a natural structure of a monoid and that these monoids carry information about W, that the group structure alone can not see. We will define and explain the basic properties of these monoids and discuss their representation theory.