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On the Form of the Finite-dimensional Projective Representations of an Infinite Abelian Group
| Content Provider | Semantic Scholar |
|---|---|
| Author | Backhouse, Nadine |
| Copyright Year | 2010 |
| Abstract | If the locally compact abelian group G has a finitedimensional unitary irreducible projective representation with factor system co (i.e. G has an a>-rep), then a subgroup G(co) is defined which fulfils three roles. First, the square-root of the index of G(u)) in G is the dimension of every co-rep. Secondly, the co-reps of G can be labelled by the dual group of G(co), up to unitary equivalence. Thirdly, the essential projective form of an co-rep is determined by a unique projective representation of the finite group G/G(co). |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1973-041-01/S0002-9939-1973-0318393-6/S0002-9939-1973-0318393-6.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Dual Irreducibility Subgroup A Nepoviruses Turing completeness |
| Content Type | Text |
| Resource Type | Article |
