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Dynamical systems on quantum tori Lie algebras

โœ Scribed by Jens Hoppe; Michail Olshanetsky; Stefan Theisen

Publisher
Springer
Year
1993
Tongue
English
Weight
870 KB
Volume
155
Category
Article
ISSN
0010-3616

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Kacโ€“Moody algebras and Lie algebras of r
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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