Affordable Access

Access to the full text

Examples of quantum cluster algebras associated to partial flag varieties

Authors
  • Grabowski, Jan E.
Type
Published Article
Publication Date
Jul 27, 2010
Submission Date
Jul 28, 2009
Identifiers
DOI: 10.1016/j.jpaa.2010.09.012
Source
arXiv
License
Yellow
External links

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 Schroer, 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.

Report this publication

Statistics

Seen <100 times