ON CATEGORY O FOR THE RATIONAL CHEREDNIK ALGEBRA OF G(m, 1, n): THE ALMOST SEMISIMPLE CASE
نویسنده
چکیده
We determine the structure of category O for the rational Cherednik algebra of G(m, 1, n) in the case where the KZ functor satisfies a condition called separating simples. We show that this condition holds whenever all but one of the simple objects in O has the maximum possible Gelfand-Kirillov dimension (plus a mild genericity condition on the parameters). Our proof involves calculating the blocks of the Ariki-Koike algebra in a special case.
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تاریخ انتشار 2006