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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

SYSNO ASEP	0487353
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Algebraic proofs for shallow water bi-Hamiltonian systems for three cocycle of the semi-direct product of Kac-Moody and Virasoro Lie algebras
Author(s)	Zuevsky, Alexander (MU-W)_{RID, SAI, ORCID}
Source Title	Open Mathematics. - : Walter de Gruyter - ISSN 2391-5455 Roč. 16, č. 1 (2018), s. 1-8
Number of pages	8 s.
Language	eng - English
Country	PL - Poland
Keywords	Kac-Moody Lie algebras ; cocycles
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
Institutional support	MU-W - RVO:67985840
UT WOS	000428390200002
EID SCOPUS	85042087800
DOI	10.1515/math-2018-0002
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2019

Number of the records: 1