Shan Ren

activity

20222026

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3 papers · 1 filter

math.RA2026

Geometry and classifications of some $ω$ -Lie algebras

Yin Chen, Shan Ren, Runxuan Zhang

Using group actions and orbit-stabilizer methods, we study the geometry of isomorphism classes of finite-dimensional $ω$ -Lie algebras over a field $K$ of characteristic $\…

math.RA2024

Skew-symmetric solutions of the classical Yang-Baxter equation and $O$ -operators of Malcev algebras

Shan Ren, Runxuan Zhang

We study connections between skew-symmetric solutions of the classical Yang-Baxter equation (CYBE) and $O$ -operators of Malcev algebras. We prove that a skew-symmetric so…

math.RA2022

Kupershmidt-Nijenhuis structures on pre-Malcev algebras

Yin Chen, Liman Qin, Shan Ren +1

We study Kupershmidt operators, Nijenhuis operators, and Kupershmidt-Nijenhuis structures on finite-dimensional pre-Malcev algebras over a field of characteristic zero. We construc…

Geometry and classifications of some ω-Lie algebras

Skew-symmetric solutions of the classical Yang-Baxter equation and O-operators of Malcev algebras

Kupershmidt-Nijenhuis structures on pre-Malcev algebras

Geometry and classifications of some $ω$ -Lie algebras

Skew-symmetric solutions of the classical Yang-Baxter equation and $O$ -operators of Malcev algebras