Zhi-Wei Li

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20242026

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math.RT2026

Support $τ$ -tilting modules over trivial extensions of hereditary algebras

Rong Rong, Zhi-Wei Li

Let $A$ be a finite-dimensional basic hereditary algebra and let $T (A) = A ⋉ D (A)$ be its trivial extension. Building on the classification of indecomposable $τ$ -rigid $T (A)$ -mo…

math.RT2025

Comparing $τ$ -tilting modules and $1$ -tilting modules

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

We characterize $τ$ -tilting modules as $1$ -tilting modules over quotient algebras satisfying a tensor-vanishing condition, and characterize $1$ -tilting modules as $τ$ -tilting modul…

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…

Support τ-tilting modules over trivial extensions of hereditary algebras

Comparing τ-tilting modules and 1-tilting modules

The Grothendieck group of a triangulated category

Support $τ$ -tilting modules over trivial extensions of hereditary algebras

Comparing $τ$ -tilting modules and $1$ -tilting modules