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math.DG2025
From n-systems to Lie and Courant algebroids
Liqiang Cai, Zhuo Chen, Zhixiong Chen +1
This paper introduces a method for constructing pure algebroids, dull algebroids, and Lie algebroids. The construction relies on what we deffned as n-systems on vector bundles, and…
math.QA2025
Brace algebras associated with Hopf algebroids
Jiahao Cheng, Zhuo Chen, Yu Qiao
We apply the operadic modeling of brace algebras, as developed by Gerstenhaber and Voronov, to the context of Hopf algebroids in the sense of Xu. Specifically, we cons…
math.DG2025
Atiyah constructions for Lie algebroid connections on fiber bundles
Chen He, Dadi Ni, Zhuo Chen
To address the need for a unified framework that incorporates Lie algebroid connections on both vector and principal bundles, this paper investigates a generalized Atiyah algebroid…