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Elliptic hydrodynamics and quadratic algebras of vector fields on a torus

โœ Scribed by M. A. Olshanetsky


Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
555 KB
Volume
150
Category
Article
ISSN
0040-5779

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๐Ÿ“œ SIMILAR VOLUMES


Kacโ€“Moody algebras and Lie algebras of r
โœ M. Rausch de Traubenberg; M.J. Slupinski ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 159 KB

We consider the problem of representing the Kac-Moody algebra g(N) specified by an r ร— r indecomposable generalized Cartan matrix N as vector fields on the torus C \* r . It is shown that, if the representations are of a certain form, this is possible if and only if g(N) is isomorphic to either sl(r