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Twisting the quantum Grassmannian

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
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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