Characters of irreducible representations of the Lie algebra of vector fields on the circle
โ Scribed by Alvany Rocha-Caridi; Nolan R. Wallach
- Publisher
- Springer-Verlag
- Year
- 1983
- Tongue
- English
- Weight
- 823 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0020-9910
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๐ SIMILAR VOLUMES
We present an explicit description of the แ -support supp M of any irreducible แ -locally finite แ-module M, where แ is any finite-dimensional Lie algebra and แ is an arbitrary nilpotent Lie subalgebra of แ. If แ contains a Cartan subalgebra of the semi-simple part of แ, we reformulate the description
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