SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS

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...

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Bibliographic Details
Published in:Transformation groups 2022-06, Vol.27 (2), p.429-470
Main Authors: ELASHVILI, A. G., JIBLADZE, M., KAC, V. G.
Format: Article
Language:English
Subjects:
Algebra
Classification
Lie Groups
Mathematics
Mathematics and Statistics
Topological Groups
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Summary: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.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-020-09568-2