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arXiv:2404.15800 [math.RT]AbstractReferencesReviewsResources

The Grothendieck group of a triangulated category

Xiao-Wu Chen, Zhi-Wei Li, Xiaojin Zhang, Zhibing Zhao

Published 2024-04-24, updated 2024-04-25Version 2

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
Categories: math.RT, math.CT
Subjects: 18G80, 18F30
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