INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS
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31_2021_Article_9645.pdf
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Author(s)
SOLE, ALBERTO D
KAC, VICTOR G
JIBLADZE, MAMUKA
VALERI, DANIELE
Date Issued
April 15, 2021
Publisher
Springer US
Version
Final published version
Abstract
Abstract
We prove that all classical affine W-algebras 𝒲(𝔤; f), where g is a simple Lie algebra and f is its non-zero nilpotent element, admit an integrable hierarchy of bi-Hamiltonian PDEs, except possibly for one nilpotent conjugacy class in G2, one in F4, and five in E8.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00031-021-09645-0
