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arXiv:math/0606518 [math.RT]AbstractReferencesReviewsResources

The Grothendieck group of a cluster category

Michael Barot, Dirk Kussin, Helmut Lenzing

Published 2006-06-21, updated 2007-03-02Version 2

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.

Comments: 21 pages, accepted for publication by JPAA
Categories: math.RT
Subjects: 16G20, 16E20, 18E30
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