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The Grothendieck group of a triangulated category (2404.15800v3)
Published 24 Apr 2024 in math.RT and math.CT
Abstract: We give a direct proof of the following known result: the Grothendieck group of a triangulated category with a silting subcategory is isomorphic to the split Grothendieck group of the silting subcategory. Moreover, we obtain its cluster-tilting analogue.
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