Xiao-Wu Chen

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math.RT2025

Comparing $I ¨ $ -tilting modules and $1$ -tilting modules

Xiao-Wu Chen, Zhi-Wei Li, Xiaojin Zhang +1

We characterize $I ¨ $ -tilting modules as $1$ -tilting modules over quotient algebras satisfying a tensor-vanishing condition, and characterize $1$ -tilting modules as $I ¨ $ -tilting mod…

math.RT2024

The Grothendieck group of a triangulated category

Xiao-Wu Chen, Zhi-Wei Li, Xiaojin Zhang +1

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…

Comparing I¨-tilting modules and 1-tilting modules

The Grothendieck group of a triangulated category

Comparing $I ¨ $ -tilting modules and $1$ -tilting modules