Shan Ren

activity

20222026

collaborators

5 papers

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.AC2025

Some four-dimensional orthogonal invariants

Shan Ren, Runxuan Zhang

Let $p$ be an odd prime and $F_{p}$ be the prime field of order $p$ . Consider a $2$ -dimensional orthogonal group $G$ over $F_{p}$ acting on the standard representatio…

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.AC2023

Modular invariants of a vector and a covector for some elementary abelian $p$ -groups

Shan Ren

Let $F_{p}$ be the prime field of order $p > 0$ and $G$ be an elementary abelian $p$ -group.For some $n$ -dimensional cohyperplane $G$ -representations $V$ over $F_{p}$ , w…

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

Some four-dimensional orthogonal invariants

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

Modular invariants of a vector and a covector for some elementary abelian p-groups

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

Modular invariants of a vector and a covector for some elementary abelian $p$ -groups