Runxuan Zhang

activity

20232026

collaborators

5 papers

math.RA2026

Rota-Baxter operators on $ω$ -Lie algebras

Yin Chen, Shan Ren, Jiawen Shan +1

This article explores Rota-Baxter operators on finite-dimensional $ω$ -Lie algebras over a field of characteristic not 2. We provide several methods for constructing left-symmetric…

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…

cs.IT2024

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,…

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.QA2023

Parity duality of super $r$ -matrices via $O$ -operators and pre-Lie superalgebras

Chengming Bai, Li Guo, Runxuan Zhang

This paper studies super $r$ -matrices and operator forms of the super classical Yang-Baxter equation. First by a unified treatment, the classical correspondence between $r$ -matrice…

Rota-Baxter operators on ω-Lie algebras

Some four-dimensional orthogonal invariants

An invariant-theoretic approach to three weight enumerators of self-dual quantum codes

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

Parity duality of super r-matrices via O-operators and pre-Lie superalgebras

Rota-Baxter operators on $ω$ -Lie algebras

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

Parity duality of super $r$ -matrices via $O$ -operators and pre-Lie superalgebras