Yang-Baxter relations with orthogonal or symplectic symmetry

23rd International Conference on Integrable Systems and Quantum Symmetries

Karakhanyan, D.^1 ; Kirschner, R.^2

Yerevan Physics Institute, 2 Alikhanyan br., Yerevan

0036, Armenia^1

Institut für Theoretische Physik, Universitat Leipzig, Leipzig

04009, Germany^2

关键词: L-matrix;    Symplectic;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012029/pdf
DOI  :  10.1088/1742-6596/670/1/012029

来源: IOP

【 摘 要 】

Solutions of the Yang-Baxter relations with orthogonal or symplectic symmetry are studied emphasizing the analogies of both cases. Starting from Jordan-Schwinger representations the distinguishing features of the spinor representation and its symplectic analogon are shown. The corresponding L matrix and the spinorial R operator are discussed.