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Mathematics > Representation Theory

Title: The Grothendieck group of a triangulated category

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.
Comments: comments welcome
Subjects: Representation Theory (math.RT); Category Theory (math.CT)
MSC classes: 18G80, 18F30
Cite as: arXiv:2404.15800 [math.RT]
  (or arXiv:2404.15800v2 [math.RT] for this version)

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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