Resumen de The coloured mutation class of An-quivers

Viviana Gubitosi, Rafael Parra, Claudio Qureshi

• 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