Paget, Rowena E.
(2006)
*
Representation theory of q-rook monoid algebras.
*
Journal of Algebraic Combinatorics,
24
(3).
pp. 239-252.
ISSN 0925-9899.
(doi:10.1007/s10801-006-0010-y)
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The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication) | |

Official URL http://dx.doi.org/10.1007/s10801-006-0010-y |

## 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.

Item Type: | Article |
---|---|

DOI/Identification number: | 10.1007/s10801-006-0010-y |

Uncontrolled keywords: | rook monoid; cellular algebra; Iwahori-Hecke algebra; representation |

Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science |

Depositing User: | Judith Broom |

Date Deposited: | 19 Dec 2007 18:27 UTC |

Last Modified: | 28 May 2019 13:35 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/735 (The current URI for this page, for reference purposes) |

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