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Some remarks on triangulated categories and Kac–Moody algebras

✍ Scribed by Xu, Fan; Chen, Xueqing


Book ID
120385506
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
334 KB
Volume
388
Category
Article
ISSN
0021-8693

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Kac–Moody algebras and Lie algebras of r
✍ M. Rausch de Traubenberg; M.J. Slupinski 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 159 KB

We consider the problem of representing the Kac-Moody algebra g(N) specified by an r × 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