THE PBW THEOREM FOR AFFINE YANGIANS

被引：0

作者：

YAPING YANG

GUFANG ZHAO

机构：

[1] The University of Melbourne,School of Mathematics and Statistics

[2] Institute of Science and Technology Austria,undefined

来源：

Transformation Groups | 2020年 / 25卷

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摘要：

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].

引用

页码：1371 / 1385

页数：14

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