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On the rank and dimension of semisimple Lie algebras of vector fields

โœ Scribed by Yu. G. Zarkhin


Publisher
Springer US
Year
1993
Tongue
English
Weight
228 KB
Volume
63
Category
Article
ISSN
1573-8795

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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