Higher APR tilting preserves $n$-representation infiniteness

Yuya Mizuno; Kota Yamaura

Higher APR tilting preserves $n$-representation infiniteness

Representation Theory 2015-08-26 v2

Authors: Yuya Mizuno , Kota Yamaura

Abstract

We show that $m$ -APR tilting preserves $n$ -representation infiniteness for $1\leq m\leq n$ . 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.

Keywords

representation theory of algebras

Cite

@article{arxiv.1503.08475,
  title  = {Higher APR tilting preserves $n$-representation infiniteness},
  author = {Yuya Mizuno and Kota Yamaura},
  journal= {arXiv preprint arXiv:1503.08475},
  year   = {2015}
}

Comments

11 pages, to appear in J. Algebra

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