Integrable triples in semisimple Lie algebras

DOI10.1007/s11005-021-01456-4OpenAlexW3199410170WikidataQ114224883 ScholiaQ114224883MaRDI QIDQ2242420

Alberto De Sole, Daniele Valeri, Victor G. Kac, Mamuka Jibladze

Publication date: 9 November 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12913

zbMATH Keywords

polar representationcyclic and quasi-cyclic elementsintegrable hierarchy of Hamiltonian PDEintegrable triple in a simple Lie algebra

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Exceptional (super)algebras (17B25) Graded Lie (super)algebras (17B70) Applications of Lie algebras and superalgebras to integrable systems (17B80) Simple, semisimple, reductive (super)algebras (17B20) Exceptional groups (20G41)

Uses Software

• SLA

Cites Work

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• STABILITY CRITERIA FOR THE ACTION OF A SEMISIMPLE GROUP ON A FACTORIAL MANIFOLD