English

Tensor products of higher APR tilting modules

Representation Theory 2022-11-10 v1

Abstract

The higher APR tilting modules and higher BB tilting modules were introduced and studied in higher Auslander-Reiten theory. Our objective is to consider these tilting modules by the corresponding simple modules, and show that the tensor product of higher APR (BB) tilting modules is a higher APR (BB) tilting module.

Keywords

Cite

@article{arxiv.2211.04962,
  title  = {Tensor products of higher APR tilting modules},
  author = {Xiaojian Lu},
  journal= {arXiv preprint arXiv:2211.04962},
  year   = {2022}
}

Comments

18 pages

R2 v1 2026-06-28T05:31:25.868Z