Lie algebras and representations of continuous groups
β Scribed by D. E. Littlewood
- Publisher
- Springer
- Year
- 1975
- Tongue
- English
- Weight
- 473 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0020-7748
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π SIMILAR VOLUMES
Let U be a unitary irreducible locally faithful representation of a nilpotent Lie group G, ~ the universal enveloping algebra of G, M a simple module on o//with kernel Ker dU, then there exists an automorphism of q/keeping ker dU invariant such that, after transport of structure, M is isomorphic to
This paper contains some general results on irreducibility and inequivalence of representations of certain kinds of infinite dimensional Lie algebras, related to transformation groups. The main abstract theorem is a generalization of a classical result of Burnside. Applications are given, especially