A Coxeter element is an element of a Coxeter group formed by multiplying the Coxeter generators together in some order. A fully commutative element of a Coxeter group is an element all of whose reduced expressions are equivalent by short braid relations. These talks discuss recent and ongoing joint work with Dana Ernst (Plymouth State), Matt Macauley (Clemson) and others, which introduces and studies a class of elements generalizing Coxeter elements and properly contained in the fully commutative elements.
Cyclically fully commutative elements of Coxeter groups I
Sep. 10, 2009 2pm (MATH 350)
Lie Theory
Richard Green (CU)
X
A Coxeter element is an element of a Coxeter group formed by multiplying the Coxeter generators together in some order. A fully commutative element of a Coxeter group is an element all of whose reduced expressions are equivalent by short braid relations. These talks discuss recent and ongoing joint work with Dana Ernst (Plymouth State), Matt Macauley (Clemson) and others, which introduces and studies a class of elements generalizing Coxeter elements and properly contained in the fully commutative elements.
Cyclically fully commutative elements of Coxeter groups II
Sep. 24, 2009 2pm (MATH 350)
Lie Theory
Nat Thiem (CU)
X
In the first talk, we will review the concept of a supercharacter theory with an eye towards applying these ideas to algebraic structures that are not finite groups. In particular, there is much to be explored in the realm of finite dimensional algebras and infinite groups.
Supercharacters and the combinatorics of set-partitions I
Cyclically fully commutative elements of Coxeter groups I