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Absolutely indecomposable representations and Kac-Moody Lie algebras

✍ Scribed by William Crawley-Boevey; Michel Van den Bergh


Book ID
105911851
Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
365 KB
Volume
155
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES


Lie-Admissible Algebras and Kac–Moody Al
✍ Kyeonghoon Jeong; Seok-Jin Kang; Hyeonmi Lee πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 234 KB

In this paper, we determine all third power-associative Lie-admissible algebras whose commutator algebras are Kac᎐Moody algebras.

Supersymmetry and Kac-Moody algebras
✍ F. Langouche; T. SchΓΌcker πŸ“‚ Article πŸ“… 1986 πŸ› Springer 🌐 English βš– 234 KB

The invariance algebra of the Majorana action contains a Kae--Moody algebra which, 'on shell', reduces to an Abelian algebra. In the absence of auxiliary fields in the Wess-Zumino model, supersymmetry transformations generate an infinite-dimensional Lie algebra, which is shown to be a Grassmannian e

Kac–Moody algebras and Lie algebras of r
✍ M. Rausch de Traubenberg; M.J. Slupinski πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 159 KB

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