University of Sydney Algebra Seminar

James Parkinson (University of Sydney)

Friday 1 April, 12:05-12:55pm, Carslaw 175

A classification of commutative parabolic Hecke algebras

Let $W$ be an arbitrary Coxeter group and let $H$ be the associated generic Hecke algebra with basis $T_w$, $w\in W$. Let $W_J$ be a parabolic subgroup of $W$ and let $1_J$ be the sum of the basis elements $T_w$ with $w\in W_J$. In this talk we classify the pairs $(W,J)$ for which the $J$-parabolic Hecke algebra $H_J=1_{J}H{1}_J$ is commutative. This is joint work with Peter Abramenko (Virginia) and Hendrik Van Maldeghem (Ghent).