Shan Ren

collaborators

3 papers

math.AC2026

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.RA2026

Geometry and classifications of some $I ¨ $ -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 $I ¨ $ -Lie algebras over a field $K$ of characteristic $…

math.RA2025

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…

Some four-dimensional orthogonal invariants

Geometry and classifications of some I¨-Lie algebras

Kupershmidt-Nijenhuis structures on pre-Malcev algebras

Geometry and classifications of some $I ¨ $ -Lie algebras