In this paper, we determine all third power-associative Lie-admissible algebras whose commutator algebras are KacαMoody algebras.
Absolutely indecomposable representations and Kac-Moody Lie algebras
β 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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π SIMILAR VOLUMES
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
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