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) (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) (KAR id:735)
| 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. | |
| 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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Judith Broom |
| Date Deposited: | 19 Dec 2007 18:27 UTC |
| Last Modified: | 05 Nov 2024 09:30 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/735 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Paget, Rowena E..
| Creator's ORCID: |
 https://orcid.org/0000-0001-8088-4421
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