Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras

DOI10.1007/s00220-019-03568-4zbMath1443.37051arXiv1811.10137OpenAlexW2900487459WikidataQ127217612 ScholiaQ127217612MaRDI QIDQ1986588

Chao-Zhong Wu, Si-Qi Liu, You-Jin Zhang, Xu Zhou

Publication date: 8 April 2020

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

Full work available at URL: https://arxiv.org/abs/1811.10137

zbMATH Keywords

Dynkin diagramaffine Kac-Moody algebraDrinfeld-Sokolov hierarchydiagram automorphism

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (4)

Virasoro constraints for Drinfeld–Sokolov hierarchies and equations of Painlevé type ⋮ Symmetries and bilinear equations for the modified BKP hierarchy ⋮ Super tau-covers of bihamiltonian integrable hierarchies ⋮ Affine Kac-Moody algebras and tau-functions for the Drinfeld-Sokolov hierarchies: the matrix-resolvent method

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