arXiv:1907.09170 Abstract | arXiv Analytics

arXiv:1907.09170 [math.RT]Abstract References Reviews Resources

Semisimple cyclic elements in semisimple Lie algebras

Published 2019-07-22Version 1

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.

Categories: math.RT

Subjects: 17B08, 17B20, 17B25, 17B80, 17C40, 17D10, 17D30

Keywords: semisimple lie algebras, semisimple cyclic elements, hamiltonian pde, main result, classification stems

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