Quantum frieze patterns in quantum cluster algebras of type A

Details Quantum frieze patterns in quantum cluster algebras of type A Quantum frieze patterns in quantum cluster algebras of type A

2012-02-09

arxiv.org/abs/1202.1906v1

Mathematics

Quantum Algebra

10 pages

Scientific paper

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.

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