Launois, S. and Lenagan, T.H. (2011) Twisting the quantum Grassmannian. Proceedings of the American Mathematical Society, 139 (1). pp. 99-110. ISSN 0002-9939.
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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).
|Subjects:||Q Science > QA Mathematics (inc Computing science) > QA150 Algebra|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
|Depositing User:||Stephane Launois|
|Date Deposited:||08 Nov 2010 09:53|
|Last Modified:||11 Nov 2011 11:10|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/26027 (The current URI for this page, for reference purposes)|
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