The PBW theorem for affine Yangians

Y. Yang, G. Zhao, Transformation Groups (2020).


Journal Article | Epub ahead of print | English
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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].
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Date Published
2020-05-22
Journal Title
Transformation Groups
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Cite this

Yang Y, Zhao G. The PBW theorem for affine Yangians. Transformation Groups. 2020. doi:10.1007/s00031-020-09572-6
Yang, Y., & Zhao, G. (2020). The PBW theorem for affine Yangians. Transformation Groups. https://doi.org/10.1007/s00031-020-09572-6
Yang, Yaping, and Gufang Zhao. “The PBW Theorem for Affine Yangians.” Transformation Groups, 2020. https://doi.org/10.1007/s00031-020-09572-6.
Y. Yang and G. Zhao, “The PBW theorem for affine Yangians,” Transformation Groups, 2020.
Yang Y, Zhao G. 2020. The PBW theorem for affine Yangians. Transformation Groups.
Yang, Yaping, and Gufang Zhao. “The PBW Theorem for Affine Yangians.” Transformation Groups, Springer Nature, 2020, doi:10.1007/s00031-020-09572-6.
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