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Contraction of Lie algebra representations

✍ Scribed by Weimar-Woods, Evelyn


Book ID
120293673
Publisher
American Institute of Physics
Year
1991
Tongue
English
Weight
881 KB
Volume
32
Category
Article
ISSN
0022-2488

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πŸ“œ SIMILAR VOLUMES


Representations of finitary Lie algebras
✍ H. Strade πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 201 KB

Let F be an algebraically closed field of characteristic = 2, 3, W a F -vector space and The faithful irreducible L-modules are determined. It is shown that L has minimal ideals. If a minimal ideal S is infinite-dimensional then SW is a completely reducible L-module. Suppose L ∩ fgl(W ) = (0), W is

Regular * representations of lie algebra
✍ M. Cahen; S. Gutt πŸ“‚ Article πŸ“… 1982 πŸ› Springer 🌐 English βš– 376 KB

We prove the existence of a \* product on the cotangent bundle of a paralMizable manifold M. When M is a Lie group the properties of this \* product allow.us to define a linear representation of the Lie algebra of this group on L~(G), which is, in fact, the one corresponding to the usual regular rep