## UNSW Sydney Joint Colloquium## Andrew Mathas## The cyclotomic Jantzen Schaper theorem
In [DJM] Richard Dipper, Gordon James and myself introduced the
q-Schur algebra is
a certain endomorphism algebra attached to an Ariki-Koike algebra in much
the same way as the q-Schur algebra [DJ] is defined as an
endomorphism algebra of a particular module for the Iwahori Hecke algebra
of the symmetric group.
One of our motivations for defining the cyclotomic
As a special case of our results we obtained, for the first
time, an analogue of the Jantzen Schaper theorem for Coxeter groups of
type In this talk I will describe these results, together with details of the proof and some applications.
[DJ] R. Dipper and G. James, The
[DJM] R. Dipper, G. James, and A. Mathas, Cyclotomic [JM] G. James and A. Mathas, The cyclotomic Jantzen Schaper theorem, preprint. |