Antoine Caradot

activity

20242026

collaborators

3 papers

math.RT2026

Differential graded algebras with divided powers and homotopy Lie algebras

Antoine Caradot, Zongzhu Lin

Given a commutative algebra $A$ and a quotient $A$ -algebra $A / I$ , we construct a resolution of $A / I$ as an $A$ -module such that it is also a differential graded (dg) algebra with d…

math.RT2025

Equivariant vertex coalgebras, $C_{2}$ -coalgebras and duality for diagonalisable group schemes

Antoine Caradot, Zongzhu Lin

In this paper, we define vertex algebras and vertex coalgebras in the category of rational $G_{I^} $ -modules, where $G_{I^} $ is the group scheme defined by the group algebra $\mathsf k…

math.QA2024

Differential graded vertex Lie algebras

Antoine Caradot, Cuipo Jiang, Zongzhu Lin

This is the continuation of the study of differential graded (dg) vertex algebras previously defined by the authors. The goal of this paper is to construct a functor from the categ…

Differential graded algebras with divided powers and homotopy Lie algebras

Equivariant vertex coalgebras, C2​-coalgebras and duality for diagonalisable group schemes

Differential graded vertex Lie algebras

Equivariant vertex coalgebras, $C_{2}$ -coalgebras and duality for diagonalisable group schemes