Yin Chen

activity

20122025

most citedA generalization on derivations of Lie algebras

11 citations · 33 across the 19 of their papers we have counts for

collaborators

19 papers

math.RA2025

Geometry of Yang-Baxter matrix equations over finite fields

Yin Chen, Shaoping Zhu

Let $A$ be a $2 \times 2$ matrix over a finite field and consider the Yang-Baxter matrix equation $X A X = A X A$ with respect to $A$ . We use a method of computational ideal theory to exp…

math.RA2024★ 4 cited

Some Lie algebra structures on symmetric powers

Yin Chen

Let $k$ be a field of any characteristic, $V$ a finite-dimensional vector space over $k$ , and $S^{d} (V^{*})$ be the $d$ -th symmetric power of the dual space $V^{*}$ . Given a linear map $…

math.RA2020★ 11 cited

A generalization on derivations of Lie algebras

Hongliang Chang, Yin Chen, Runxuan Zhang

We initiate a study on a range of new generalized derivations of finite-dimensional Lie algebras over an algebraically closed field of characteristic zero. This new generalization…

math.RA2020★ 1 cited

A class of quadratic matrix equations over finite fields

Yin Chen, Xinxin Zhang

We exhibit an explicit formula for the cardinality of solutions to a class of quadratic matrix equations over finite fields. We prove that the orbits of these solutions under the n…

math.AC2020★ 2 cited

Relations between modular invariants of a vector and a covector in dimension two

Yin Chen

We exhibit a set of generating relations for the modular invariant ring of a vector and a covector for the two-dimensional general linear group over a finite field.

math.AC2019

Modular invariants of finite gluing groups

Yin Chen, R. James Shank, David L. Wehlau

We use the gluing construction introduced by Jia Huang to explore the rings of invariants for a range of modular representations. We construct generating sets for the rings of inva…