UM Math Graduate Student Seminar

Kyle Celano
University of Miami 

will present

Bruhat Order on Coxeter Groups

Friday, September 7th, 2018, 5:00pm
Ungar Building Room 402


Abstract:

Coxeter groups were introduced by Coxeter in 1934 as
abstractions of reflection groups such as the symmetric or dihedral
groups. In this talk, we discuss a partial order called the Bruhat order
which orders the elements of a Coxeter group by their expression in terms
of the generators. We shall see how the Bruhat order encodes the structure
of Coxeter groups and discuss some of its combinatorial properties.

 


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