$C^{\infty}$-vectors of irreducible representations of exponential solvable Lie groups
โ Scribed by INOUE, Junko; LUDWIG, Jean
- Book ID
- 121844928
- Publisher
- The Mathematical Society of Japan
- Year
- 2007
- Tongue
- German
- Weight
- 220 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0025-5645
No coin nor oath required. For personal study only.
๐ 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
For any connected Lie group G, we introduce the notion of exponential radical Exp G that is the set of all strictly exponentially distorted elements of G. In case G is a connected simply-connected solvable Lie group, we prove that Exp G is a connected normal Lie subgroup in G and the exponential rad