@article{7940,
  abstract     = {We prove that the Yangian associated to an untwisted symmetric affine Kac–Moody Lie algebra is isomorphic to the Drinfeld double of a shuffle algebra. The latter is constructed in [YZ14] as an algebraic formalism of cohomological Hall algebras. As a consequence, we obtain the Poincare–Birkhoff–Witt (PBW) theorem for this class of affine Yangians. Another independent proof of the PBW theorem is given recently by Guay, Regelskis, and Wendlandt [GRW18].},
  author       = {Yang, Yaping and Zhao, Gufang},
  issn         = {1531586X},
  journal      = {Transformation Groups},
  pages        = {1371--1385},
  publisher    = {Springer Nature},
  title        = {{The PBW theorem for affine Yangians}},
  doi          = {10.1007/s00031-020-09572-6},
  volume       = {25},
  year         = {2020},
}