Grabowski, Jan, Launois, Stephane (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. (doi:10.1093/imrn/rnq153) (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:27799)
| 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/10.1093/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 |
|---|---|
| DOI/Identification number: | 10.1093/imrn/rnq153 |
| 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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Stephane Launois |
| Date Deposited: | 17 May 2011 08:57 UTC |
| Last Modified: | 05 Nov 2024 10:08 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/27799 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Launois, Stephane.
| Creator's ORCID: |
 https://orcid.org/0000-0001-7252-8515
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