Quantum frieze patterns in quantum cluster algebras of type A
Quantum Algebra
2012-02-10 v1 Combinatorics
Rings and Algebras
Abstract
We introduce a quantisation of the Coxeter-Conway frieze patterns and prove that they realise quantum cluster variables in quantum cluster algebras associated with linearly oriented Dynkin quivers of type A. As an application, we obtain the explicit polynomials arising from the lower bound phenomenon in these quantum cluster algebras.
Cite
@article{arxiv.1202.1906,
title = {Quantum frieze patterns in quantum cluster algebras of type A},
author = {Jean-Philippe Burelle and Grégoire Dupont},
journal= {arXiv preprint arXiv:1202.1906},
year = {2012}
}
Comments
10 pages