Quantum frieze patterns in quantum cluster algebras of type A
  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. 
Jean-Philippe Burelle and Gr\'egoire Dupont
math.QA math.CO math.RA