English

The Grothendieck group of a cluster category

Representation Theory 2020-09-28 v2

Abstract

For the cluster category of a hereditary or a canonical algebra, equivalently for the cluster category of the hereditary category of coherent sheaves on a weighted projective line, we study the Grothendieck group with respect to an admissible triangulated structure.

Keywords

Cite

@article{arxiv.math/0606518,
  title  = {The Grothendieck group of a cluster category},
  author = {Michael Barot and Dirk Kussin and Helmut Lenzing},
  journal= {arXiv preprint arXiv:math/0606518},
  year   = {2020}
}

Comments

21 pages, accepted for publication by JPAA