Integrability of classical affine \(W\)-algebras

DOI10.1007/s00031-021-09645-0OpenAlexW3156097530MaRDI QIDQ2044701

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

Publication date: 10 August 2021

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01244

zbMATH Keywords

affine \(W\)-algebrasintegrable hierarchy of bi-Hamiltonian PDEs

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items

Integrable triples in semisimple Lie algebras, Affine Kac-Moody algebras and tau-functions for the Drinfeld-Sokolov hierarchies: the matrix-resolvent method

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