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

0487353 - MÚ 2019 RIV PL eng J - Journal Article
Zuevsky, Alexander
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. Roč. 16, č. 1 (2018), s. 1-8. ISSN 2391-5455. E-ISSN 2391-5455
Institutional support: RVO:67985840
Keywords : Kac-Moody Lie algebras * cocycles
OECD category: Pure mathematics
Impact factor: 0.726, year: 2018
https://www.degruyter.com/view/j/math.2018.16.issue-1/math-2018-0002/math-2018-0002.xml

We 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.
Permanent Link: http://hdl.handle.net/11104/0282009