4 papers
Multiparameter Quantum Affine Spaces and the Scalene Yang--Baxter Equation
Pramod Padmanabhan, Somnath Maity, Vladimir Korepin
We construct representation-independent families of solutions of the non-braided scalene Yang--Baxter equation from quadratic noncommutative algebras. Beginning with two anticommut…
Scalene Yang--Baxter triples as a source of hidden symmetries beyond the ordinary Yang--Baxter equation
Pramod Padmanabhan, Somnath Maity, Vladimir Korepin
We study a nearest-neighbor non-Hermitian spin chain obtained from one member of an exact non-braided scalene Yang--Baxter triple. Its local Hamiltonian density violates both the d…
Non-hermitian integrable systems from constant non-invertible solutions of the Yang-Baxter equation
Somnath Maity, Pramod Padmanabhan, Vladimir Korepin
We construct invertible spectral parameter dependent Yang-Baxter solutions (-matrices) by Baxterizing constant non-invertible Yang-Baxter solutions. The solutions are algebraic…
Algebraic classification of Hietarinta's solutions of Yang-Baxter equations~:~invertible operators
Somnath Maity, Vivek Kumar Singh, Pramod Padmanabhan +1
In order to examine the simulation of integrable quantum systems using quantum computers, it is crucial to first classify Yang-Baxter operators. Hietarinta was among the first to c…