We show that the stable module categories of certain selfinjective algebras of finite representation type having tree class A n are actually u-cluster categories. Since their introduction in [6], [7], cluster categories have become a central topic in representation theory. They provide the framework for the representation-theoretic approach to the highly successful theory of cluster algebras, a...

Fomin and Zelevinsky's definition of cluster algebras laid the foundation for theory. The various categorifications generalisations original led to Iyama Yoshino's generalised categories $\mathcal{T}/\mathcal{T}^{fd}$ coming from positive-Calabi-Yau triples $(\mathcal{T}, \mathcal{T}^{fd},\mathcal{M})$. Jin later defined simple minded collection quadruples \mathcal{T}^{p},\mathbb{S},\mathcal{S}...