The Algebra Seminar on Friday 1 April will be given by James Parkinson. --------------------------------------------------------------------- Speaker: James Parkinson (University of Sydney) Date: Friday 1 April Time: 12.05-12.55pm Venue: Carslaw 175 Title: A classification of commutative parabolic Hecke algebras Abstract: 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_JH1_J is commutative. This is joint work with Peter Abramenko (Virginia) and Hendrik Van Maldeghem (Ghent). ---------------------------------------------------------------------