@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}, }