The coloured mutation class of An-quivers

• Viviana Gubitosi ^[1] ; Rafael Parra ^[1] ; Claudio Qureshi ^[1]
  1. [1] Instituto de Matemática y Estadística Rafael Laguardia, Montevideo, Uruguay
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 118, Nº. 4, 2024
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper we give an explicit and purely combinatorial description of the m-coloured quivers that appears in the m-coloured mutation class of a quiver of type An. The m-coloured mutation defined by Buan and Thomas in (Adv Math 222(3):971–995, 2009) generalizes the well-known quiver mutation of Fomin and Zelevinsky (J Am Math Soc 15(2):497–529, 2002).

    In particular, our description generalizes a result of Buan and Vatne (J Algebra 319(7):2723– 2738, 2008), which we recover when m = 1