Launois, Stephane, Lenagan, T.H. (2011) Twisting the quantum Grassmannian. Proceedings of the American Mathematical Society, 139 (1). pp. 99-110. ISSN 0002-9939. (doi:10.1090/S0002-9939-2010-10478-1) (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:26027)
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/10.1090/S0002-9939-2010-10478-1 |
Abstract
In contrast to the classical and semiclassical settings, the Coxeter element (12...n) which cycles the columns of an m x n matrix does not determine an automorphism of the quantum grassmannian. Here, we show that this cycling can be obtained by means of a cocycle twist. A consequence is that the torus invariant prime ideals of the quantum grassmannian are permuted by the action of the Coxeter element (12...n). We view this as a quantum analogue of the recent result of Knutson, Lam and Speyer, where the Lusztig strata of the classical grassmannian are permuted by (12...n).
Item Type: | Article |
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DOI/Identification number: | 10.1090/S0002-9939-2010-10478-1 |
Subjects: | Q Science > QA Mathematics (inc Computing science) > QA150 Algebra |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Stephane Launois |
Date Deposited: | 08 Nov 2010 09:53 UTC |
Last Modified: | 05 Nov 2024 10:06 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/26027 (The current URI for this page, for reference purposes) |
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