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Matrix units and generic degrees for the Ariki--Koike algebras | | Andrew Mathas
; | | Date: |
24 Aug 2001 | | Subject: | Representation Theory; Quantum Algebra MSC-class: 20C08, 20G05, 33D80 | math.RT math.QA | | Affiliation: | Sydney | | Abstract: | We compute the generic degrees of the Ariki--Koike algebras by first constructing a basis of matrix units in the semisimple case. As a consequence, we also obtain an explicit isomorphism from any semisimple Ariki--Koike algebra to the group algebra of the corresponding complex reflection group. | | Source: | arXiv, math.RT/0108164 | | Services: | Forum | Review | PDF | Favorites | |
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