Published June 2002
| Version v1
Journal article
Lie algebras on hyperelliptic curves and finite-dimensional integrable systems
Creators
- 1. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Metrologicheskaya ul. 14b, Kiev (Ukraine)
Description
We construct a new family of infinite-dimensional Lie algebras on hyperelliptic curves. Using them, we find new integrable Hamiltonian systems, which are direct higher rank generalizations of the Steklov-Liapunov integrable systems associated with the e(3) algebra and the Steklov-Veselov integrable systems associated with the so(4) algebra
Additional details
Identifiers
- DOI
- 10.1134/1.1490119;
Publishing Information
- Journal Title
- Physics of Atomic Nuclei
- Journal Volume
- 65
- Journal Issue
- 6
- Journal Page Range
- p. 1108-1112
- ISSN
- 1063-7788
- CODEN
- PANUEO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35079359
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- FIELD ALGEBRA; HAMILTONIANS; INTEGRALS; LIE GROUPS; SO-4 GROUPS
- Descriptors DEC
- LIE GROUPS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; SO GROUPS; SYMMETRY GROUPS
Optional Information
- Notes
- Translated from Yadernaya Fizika, ISSN 0044-0027, 65, 1141-1145 (No. 6, 2002); (c) 2002 MAIK ''Nauka / Interperiodica''.