Minimal faithful representations of reductive Lie algebras
β Scribed by Dietrich Burde; Wolfgang Moens
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 171 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0003-889X
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π SIMILAR VOLUMES
Leibniz representation of the Lie algebra α is a vector space M equipped with Ε½ .w x w x two actions left and right α, α : α m M Βͺ M and α, α : M m α Βͺ M which satisfy the relations \* Partially supported by Grant INTAS-93-2618. 414
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 β© fgl(W ) = (0), W is
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