SMS scnews item created by James East at Wed 13 Oct 2010 1057
Type: Seminar
Distribution: World
Expiry: 15 Oct 2010
Calendar1: 15 Oct 2010 1205-1255
CalLoc1: Carslaw 175

Algebra Seminar

On the centre of the Ariki-Koike Algebra

John Graham

Friday October 15, 12:05--12:55pm, Carslaw 175


The Ariki-Koike algebra H(R,q) is a quotient of the (extended) affine Hecke algebra associated to the general linear group. The centre of the affine Hecke algebra has a well known description in terms of the Weyl group action on the weight lattice due to Bernstein. In the talk, I discuss a proof that (over an arbitrary unital commutative ring R) the centre of the Ariki-Koike algebra is the image of the centre of the affine Hecke algebra if q-1 is invertible in R. One of the key ingredients is a description of the trace functions on the affine Hecke algebra and its relationship to trace functions on the Ariki-Koike Hecke algebra. This is joint work with Andrew Francis and Lenny Jones.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East

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