hide
Free keywords:
Mathematics, Representation Theory
Abstract:
We give a characterization of radical square zero bound quiver algebras
$\mathbf{k} Q/\mathcal{J}^2$ that admit $n$-cluster tilting subcategories and
$n\mathbb{Z}$-cluster tilting subcategories in terms of $Q$. We also show that
if $Q$ is not of cyclically oriented extended Dynkin type $\tilde{A}$, then the
poset of $n$-cluster tilting subcategories of $\mathbf{k} Q/\mathcal{J}^2$ with
relation given by inclusion forms a lattice isomorphic to the opposite of the
lattice of divisors of an integer which depends on $Q$.
