University of Sydney

    School of Mathematics and Statistics

    Algebra Seminar

    Andrew Francis

    The minimal basis for the centre of an Iwahori-Hecke algebra.

    Friday 19th June, 12-1pm, Carslaw 273

    We describe the so-called "minimal basis" for the centre of the Iwahori-Hecke algebra. The basis can be defined with respect to a partial order on the positive part of the algebra, an order which is analagous to a similar order on the positive part of the group algebra. The whole approach is entirely combinatorial in nature, and avoids the use of characters or the Tits deformation theorem.