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In this talk, I give a necessary and sufficient condition on
parameters for cyclotomic q-Schur algebras to be of finite
representation type. In order to prove it, we use some
structures of cyclotomic q-Schur algebras obtained in my previous
work with T. Shoji. Thanks to these structures, we should consider
only special cases to prove infiniteness. On the other hand, in o
rder to prove finiteness, we show that each block of cyclotomic
q-Schur algebra which satisfies given conditions is Morita equivalent
to an algebra which is of finite representation type.
After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |