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THE PBW THEOREM FOR AFFINE YANGIANS
Transformation Groups ( IF 0.784 ) Pub Date : 2020-05-22 , DOI: 10.1007/s00031-020-09572-6
YAPING YANG, GUFANG ZHAO

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].
更新日期:2020-05-22

 

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