---
res:
bibo_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].@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Yaping
foaf_name: Yang, Yaping
foaf_surname: Yang
foaf_workInfoHomepage: http://www.librecat.org/personId=360D8648-F248-11E8-B48F-1D18A9856A87
- foaf_Person:
foaf_givenName: Gufang
foaf_name: Zhao, Gufang
foaf_surname: Zhao
foaf_workInfoHomepage: http://www.librecat.org/personId=2BC2AC5E-F248-11E8-B48F-1D18A9856A87
bibo_doi: 10.1007/s00031-020-09572-6
bibo_volume: 25
dct_date: 2020^xs_gYear
dct_identifier:
- UT:000534874300003
dct_isPartOf:
- http://id.crossref.org/issn/10834362
- http://id.crossref.org/issn/1531586X
dct_language: eng
dct_publisher: Springer Nature@
dct_title: The PBW theorem for affine Yangians@
...