The Grothendieck group of a cluster category

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.

21 pages, accepted for publication by JPAA

References in corpus (2)

• On triangulated orbit categories
• Tilting theory and cluster combinatorics