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Mathematics > Representation Theory
Title: The Grothendieck group of a triangulated category
(Submitted on 24 Apr 2024 (v1), last revised 25 Apr 2024 (this version, v2))
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.
Submission history
From: Zhi-Wei Li [view email][v1] Wed, 24 Apr 2024 10:54:18 GMT (7kb)
[v2] Thu, 25 Apr 2024 23:27:16 GMT (7kb)
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