GROTHENDIECK GROUPS OF TRIANGULATED CATEGORIES VIA CLUSTER TILTING SUBCATEGORIES
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DOI: 10.1017/nmj.2020.12
Abstract: Let $k$ be a field, and let ${\mathcal{C}}$ be a $k$-linear, Hom-finite triangulated category with split idempotents. In this paper, we show that under suitable circumstances, the Grothendieck group of ${\mathcal{C}}$, denoted by $K_{0}({\mathcal{C}})$, can… read more here.
Keywords: cluster tilting; grothendieck groups; groups triangulated; triangulated categories ... See more keywords