Let G G be a profinite group. The purpose of this note is to construct subfields F of the field of complex numbers over which a given finite dimensional complex continuous linear representation D of G G is realizable in the following sense: There is a one-dimensional representation of G G such that
Induced representations of locally profinite groups
β Scribed by Colin J Bushnell
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 587 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let G be a nilpotent locally compact group. The lower multiplicity M L (?) is defined for every irreducible representation ? of G, which does not form an open point in the dual space G of G. It is shown that M L (?)=1 if either G is connected or ? is finite dimensional. Conversely, for G a nilpotent
We introduce the construction of induced corepresentations in the setting of locally compact quantum groups and prove that the resulting induced corepresentations are unitary under some mild integrability condition. We also establish a quantum analogue of the classical bijective correspondence betwe