Higher APR tilting preserves $n$-representation infiniteness

Abstract

We show that $m$-APR tilting preserves $n$-representation infiniteness for $1\le m\le n$. Moreover, we show that these tilting modules provide different tilting modules for the corresponding higher preprojective algebras, which is $(n+1)$-CY algebras. We also study the interplay of the two kinds of tilting modules.

11 pages, to appear in J. Algebra

References in corpus (2)

• Calabi-Yau algebras
• Stable categories of Cohen-Macaulay modules and cluster categories