3 citations · 10 across the 10 of their papers we have counts for
10 papers
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 $\…
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…
Generalized derivations of -Lie algebras
Yin Chen, Shan Ren, Jiawen Shan +1
This article explores the structure theory of compatible generalized derivations of finite-dimensional -Lie algebras over a field . We prove that any compatible quas…
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…
Invariant theory and coefficient algebras of Lie algebras
Yin Chen, Runxuan Zhang
The coefficient algebra of a finite-dimensional Lie algebra on a finite-dimensional representation is defined as the subalgebra generated by all coefficients of the corresponding c…
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…
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,…
Cohomology of left-symmetric color algebras
Yin Chen, Runxuan Zhang
We develop a new cohomology theory for finite-dimensional left-symmetric color algebras and their finite-dimensional bimodules, establishing a connection between Lie color cohomolo…
Shape enumerators of self-dual NRT codes over finite fields
Yin Chen, Runxuan Zhang
We use invariant theory of finite groups to study shape enumerators of self-dual linear codes in a finite NRT metric space. We provide a new approach that avoids applying Molien's…
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…