The R-matrix Presentation for the Yangian of a Simple Lie Algebra

@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