Liping Li

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20212026

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math.RT2026

Transfer of abelian model structures to equivariant categories and homotopy squares

Zhenxing Di, Liping Li, Li Liang +2

Let $G$ be a finite group acting on a Grothendieck category $A$ with enough projectives, such that $∣ G ∣$ is invertible in $A$ . We prove a general lifting theore…

math.RT2026

Flat models for Q-shaped derived categories via PGF objects

Zhenxing Di, Liping Li, Li Liang +1

We develop a unified approach, based on projectively coresolved Gorenstein flat (PGF) objects, for constructing flat model structures on diagram categories. Specifically, we show t…

math.RT2026

Standard modules and Dold-Kan correspondences for generalized Reedy categories

Liping Li

We develop a representation-theoretic approach to generalized Reedy categories through a systematic study of homomorphism spaces between standard modules. For a broad class of thes…

math.RT2026

Representations of categories of finite relational structures and associated endomorphism monoids

Liping Li

We develop a unified representation theory for the categories of finite subsets and relation-preserving maps of highly homogeneous relational structures classified by Cameron. For…

math.RT2026

Representations of generalized linear Reedy categories and abelian model structures

Zhenxing Di, Liping Li, Li Liang

In this paper we consider representations of generalized $k$ -linear Reedy categories $C$ , a common generalization of $k$ -linear Reedy categories introduced by…