Generalized Heisenberg equations on Z-graded Lie algebras

Citation
Iz. Golubchik et Vv. Sokolov, Generalized Heisenberg equations on Z-graded Lie algebras, THEOR MATH, 120(2), 1999, pp. 1019-1025
Citations number
12
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
120
Issue
2
Year of publication
1999
Pages
1019 - 1025
Database
ISI
SICI code
0040-5779(199908)120:2<1019:GHEOZL>2.0.ZU;2-A
Abstract
We study the integrable systems of the Heisenberg equation type that corres pond to different decompositions of Z-graded Lie algebras into a direct sum of two subalgebras. We discover new non-Abelian generalizations of some kn own integrable models.