Examples of quantum cluster algebras associated to partial flag varieties

Grabowski, Jan (2011) Examples of quantum cluster algebras associated to partial flag varieties. Journal of Pure and Applied Algebra, 215 (7). pp. 1582-1595. ISSN 0022-4049

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Abstract

We give several explicit examples of quantum cluster algebra structures, as introduced by Berenstein and Zelevinsky, on quantized coordinate rings of partial flag varieties and their associated unipotent radicals. These structures are shown to be quantizations of the cluster algebra structures found on the corresponding classical objects by Geiß, Leclerc and Schröer, whose work generalizes that of several other authors. We also exhibit quantum cluster algebra structures on the quantized enveloping algebras of the Lie algebras of the unipotent radicals.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Pure and Applied Algebra
Additional Information:
The final, definitive version of this article has been published in the Journal, Journal of Pure and Applied Algebra 215 (7), 2011, © ELSEVIER.
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2602
Subjects:
ID Code:
50168
Deposited By:
Deposited On:
28 Sep 2011 10:45
Refereed?:
Yes
Published?:
Published
Last Modified:
05 Jul 2020 03:12