On the Yang-Baxter-like matrix equation for rank-two matrices

DOI10.1515/math-2017-0026zbMath1361.15019OpenAlexW2601458522MaRDI QIDQ521587

Duanmei Zhou, Jiu Ding, Guo-Liang Chen

Publication date: 11 April 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0026

zbMATH Keywords

Jordan formquadratic matrix equationrank-two matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Canonical forms, reductions, classification (15A21)

Related Items

On the commuting solutions to the Yang-Baxter-like matrix equation for identity matrix minus special rank-two matrices, Manifold expressions of all solutions of the Yang-Baxter-like matrix equation for rank-one matrices, Constructing solutions of the Yang-Baxter-like matrix equation for singular matrices, Yang-Baxter-Like Matrix Equation: A Road Less Taken, Spectral properties of solutions of the Yang-Baxter-like matrix equation, On the projection-based commuting solutions of the Yang-Baxter matrix equation, Some non-commuting solutions of the Yang-Baxter-like matrix equation, Unification theories: new results and examples, On the intrinsic structure of the solution set to the Yang-Baxter-like matrix equation, All solutions of the Yang-Baxter-like matrix equation for nilpotent matrices of index two

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving the Yang-Baxter-like matrix equation for rank-two matrices
• A family of solutions of the Yang-Baxter equation.
• Quadratic algebras, Yang-Baxter equation, and Artin-Schelter regularity
• All solutions of the Yang-Baxter-like matrix equation for rank-one matrices
• Spectral solutions of the Yang-Baxter matrix equation
• Complete commuting solutions of the Yang-Baxter-like matrix equation for diagonalizable matrices
• Commuting solutions of the Yang-Baxter matrix equation
• On the structure of the spectral solutions of the Yang-Baxter matrix equation
• Partition function of the eight-vertex lattice model
• Further Solutions of a Yang-Baxter-like Matrix Equation
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction