An expansion formula for quantum cluster algebras from unpunctured triangulated surfaces

• Min Huang ^[1]
  1. [1] Sun Yat-sen University

     Sun Yat-sen University

     China

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 2, 2022
• Idioma: inglés
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• Resumen

  • We generalize Musiker–Schiffler–Williams’ expansion formula to quantum cluster algebras from unpunctured surfaces. In particular, we give a combinatorial proof of the positivity for such class of quantum cluster algebras.