Quantum Cluster Algebra Structures on Quantum Grassmannians and their Quantum Schubert Cells: The Finite-type Cases

Grabowski, Jan and Launois, S. (2011) Quantum Cluster Algebra Structures on Quantum Grassmannians and their Quantum Schubert Cells: The Finite-type Cases. International Mathematics Research Notices (10). pp. 2230-2262. ISSN 1073-7928. (The full text of this publication is not available from this repository)

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Official URL
http://dx.doi.org/10.1093/imrn/rnq153

Abstract

We exhibit quantum cluster algebra structures on quantum Grassmannians <inline-graphic xlink:href="RNQ153IM1" xmlns:xlink="http://www.w3.org/1999/xlink"/> and their quantum Schubert cells, as well as on <inline-graphic xlink:href="RNQ153IM2" xmlns:xlink="http://www.w3.org/1999/xlink"/>, <inline-graphic xlink:href="RNQ153IM3" xmlns:xlink="http://www.w3.org/1999/xlink"/> and <inline-graphic xlink:href="RNQ153IM4" xmlns:xlink="http://www.w3.org/1999/xlink"/>. These cases are precisely those where the quantum cluster algebra is of finite type, and the structures we describe quantize those found by Scott for the classical situation.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Q Science > QA Mathematics (inc Computing science) > QA171 Representation theory
Q Science > QA Mathematics (inc Computing science) > QA165 Combinatorics
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: 17 May 2011 08:57
Last Modified: 11 Nov 2011 11:46
Resource URI: http://kar.kent.ac.uk/id/eprint/27799 (The current URI for this page, for reference purposes)
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