Grabowski, Jan and 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)
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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: | 28 May 2014 10:54 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/27799 (The current URI for this page, for reference purposes) |

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