3 citations · 10 across the 10 of their papers we have counts for
5 papers · 1 filter
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…