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On the Form of the Finite-Dimensional Projective Representations of an Infinite Abelian Group
| Content Provider | Scilit |
|---|---|
| Author | Backhouse, N. B. |
| Copyright Year | 1973 |
| Description | If the locally compact abelian group has a finite-dimensional unitary irreducible projective representation with factor system (i.e. has an -rep), then a subgroup is defined which fulfils three roles. First, the square-root of the index of in is the dimension of every -rep. Secondly, the -reps of can be labelled by the dual group of , up to unitary equivalence. Thirdly, the essential projective form of an -rep is determined by a unique projective representation of the finite group . |
| Related Links | http://www.ams.org/proc/1973-41-01/S0002-9939-1973-0318393-6/S0002-9939-1973-0318393-6.pdf |
| Ending Page | 298 |
| Page Count | 5 |
| Starting Page | 294 |
| ISSN | 00029939 |
| e-ISSN | 10886826 |
| DOI | 10.2307/2038859 |
| Journal | Proceedings of the American Mathematical Society |
| Issue Number | 1 |
| Volume Number | 41 |
| Language | English |
| Publisher | Duke University Press |
| Access Restriction | Open |
| Subject Keyword | Mathematical Physics Abelian Group Infinite Abelian Projective Representations Dimensional Projective Finite Dimensional |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
