SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS
Name
1907.09170.pdf
Description
Accepted version
Size
792.09 KB
Format
Adobe PDF
Checksum (MD5)
1c8fbeb3cb22ab23f19275c5ca6184e5
Author(s)
ELASHVILI, AG
JIBLADZE, M
KAC, VG
Date Issued
2020
Journal
Transformation Groups
Publisher
Springer Science and Business Media LLC
Version
Author's final manuscript
Abstract
© 2020, Springer Science+Business Media, LLC, part of Springer Nature. This paper is a continuation of the theory of cyclic elements in semisimple Lie algebras, developed by Elashvili, Kac and Vinberg. Its main result is the classification of semisimple cyclic elements in semisimple Lie algebras. The importance of this classification stems from the fact that each such element gives rise to an integrable hierarchy of Hamiltonian PDE of Drinfeld–Sokolov type.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/S00031-020-09568-2
