2000 character limit reached
$\tilde{A}$ and $\tilde{D}$ type cluster algebras: Triangulated surfaces and friezes (2105.11682v1)
Published 25 May 2021 in math.RA, math.DS, and math.RT
Abstract: By viewing $\tilde{A}$ and $\tilde{D}$ type cluster algebras as triangulated surfaces, we find all cluster variables in terms of either (i) the frieze pattern (or bipartite belt) or (ii) the periodic quantities previously found for the cluster map associated with these frieze patterns. We show that these cluster variables form friezes which are precisely the ones found in [1] by applying the cluster character to the associated cluster category.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.