Representation theory of q-rook monoid algebras |
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| Authors: | Rowena Paget |
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| Institution: | (1) Mathematical Institute, 24-29 St. Giles, Oxford, OX1 3LB, England |
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| Abstract: | We show that, over an arbitrary field, q-rook monoid algebras are iterated inflations of Iwahori-Hecke algebras, and, in particular, are cellular. Furthermore we give an algebra decomposition which shows a q-rook monoid algebra is Morita equivalent to a direct sum of Iwahori-Hecke algebras. We state some of the consequences for the representation theory of q-rook monoid algebras.Supported by EPSRC grant GR/S18151/01 |
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| Keywords: | Rook monoid Cellular algebra Iwahori-Hecke algebra Representation |
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