Paget, R. (2006) Representation theory of q-rook monoid algebras. Journal of Algebraic Combinatorics, 24 (3). pp. 239-252. ISSN 0925-9899.
| The full text of this publication is not available from this repository. (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 |
|---|---|
| Uncontrolled keywords: | rook monoid; cellular algebra; Iwahori-Hecke algebra; representation |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Judith Broom |
| Date Deposited: | 19 Dec 2007 18:27 |
| Last Modified: | 14 Jan 2010 13:59 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/735 (The current URI for this page, for reference purposes) |
- Depositors only (login required):
