The Grothendieck group of a cluster category

Details The Grothendieck group of a cluster category The Grothendieck group of a cluster category

2006-06-21

arxiv.org/abs/math/0606518v2

Mathematics

Representation Theory

21 pages, accepted for publication by JPAA

Scientific paper

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.

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