9 papers
An invariant-theoretic approach to three weight enumerators of self-dual quantum codes
Yin Chen, Shan Ren, Runxuan Zhang
This article is a continuation of our recent work (Yin Chen and Runxuan Zhang, Shape enumerators of self-dual NRT codes over finite fields. SIAM J. Discrete Math. 38 (2024), no. 4,…
Geometry and classifications of some -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 -Lie algebras over a field of characteristic $…
Modular matrix invariants under some transpose actions
Yin Chen, Shan Ren
Consider the special linear group of degree over an arbitrary finite field, acting on the full space of -matrices by transpose. We explicitly construct a generating…
Rota-Baxter operators on -Lie algebras
Yin Chen, Shan Ren, Jiawen Shan +1
This article explores Rota-Baxter operators on finite-dimensional -Lie algebras over a field of characteristic not 2. We provide several methods for constructing left-symmetric…
Deformations of left-symmetric color algebras
Yin Chen, Runxuan Zhang
We develop a deformation theory for finite-dimensional left-symmetric color algebras, which can be used to construct new algebraic structures and interpret left-symmetric color coh…
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…