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Algebraic proofs for shallow water bi–Hamiltonian systems for three cocycle of the semi-direct product of Kac–Moody and Virasoro Lie algebras

Algebraic proofs for shallow water bi–Hamiltonian systems for three cocycle of the semi-direct... AbstractWe prove new theorems related to the construction of the shallow water bi-Hamiltonian systems associated to the semi-direct product of Virasoro and affine Kac–Moody Lie algebras. We discuss associated Verma modules, coadjoint orbits, Casimir functions, and bi-Hamiltonian systems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

Algebraic proofs for shallow water bi–Hamiltonian systems for three cocycle of the semi-direct product of Kac–Moody and Virasoro Lie algebras

Open Mathematics , Volume 16 (1): 8 – Jan 31, 2018

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Publisher
de Gruyter
Copyright
© 2018 Zuevsky, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2018-0002
Publisher site
See Article on Publisher Site

Abstract

AbstractWe prove new theorems related to the construction of the shallow water bi-Hamiltonian systems associated to the semi-direct product of Virasoro and affine Kac–Moody Lie algebras. We discuss associated Verma modules, coadjoint orbits, Casimir functions, and bi-Hamiltonian systems.

Journal

Open Mathematicsde Gruyter

Published: Jan 31, 2018

Keywords: Affine Kac–Moody Lie algebras; Bi-Hamiltonian systems; Verma modules; Coadjoint orbits; 17B69; 17B08; 70G60; 82C23

References