Matrix units and generic degrees for the Ariki-Koike algebras

[摘要] This paper uses the Murphy basis of the Ariki-Koike algebras to explicitly construct a complete set of primitive idempotents when these algebras are semisimple and q not equal 1. As a consequence, we obtain an explicit Wedderburn basis for the Ariki-Koike algebras. Finally, we use these idempotents to compute the generic degrees of the Ariki-Koike algebras. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-11-15

[关键词] Ariki-Koike algebras;generic degrees and complex reflection groups