## Twisted Yangians of small rank

- Nicolas Guay, Vidas Regelskis, Curtis Wendlandt
- 2016

@inproceedings{2017TheRP, title={The R-matrix Presentation for the Yangian of a Simple Lie Algebra}, author={}, year={2017} }

- Published 2017

Starting from a finite-dimensional representation of the Yangian Y (g) for a simple Lie algebra g in Drinfeld’s original presentation, we construct a Hopf algebra XI(g), called the extended Yangian, whose defining relations are encoded in a ternary matrix relation built from a specific R-matrix R(u). We prove that there is a surjective Hopf algebra morphism XI(g) Y (g) whose kernel is generated as an ideal by the coefficients of a central matrix Z(u). When the underlying representation is… CONTINUE READING