Mukunda, N. ; Simon, R. (1995) Manifestly covariant forms for Lorentz group unitary representations Journal of Mathematical Physics, 36 (9). pp. 5170-5178. ISSN 0022-2488
Full text not available from this repository.
Official URL: http://link.aip.org/link/jmapaq/v36/i9/p5170/s1
Related URL: http://dx.doi.org/10.1063/1.531220
Abstract
We show that the unitary irreducible representations (UIRs) of the proper homogeneous Lorentz group SO(3,1) can be realized in a manifestly covariant form, using Hilbert spaces of functions on suitable geometrical configurations of vectors in space time. The concept and properties of isotropic lines, which are generators of spacelike hyperboloids, and of stability groups of lightlike vectors, are crucial to the constructions. Both principal and supplementary Series UIRs are treated.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| ID Code: | 25326 |
| Deposited On: | 06 Dec 2010 13:34 |
| Last Modified: | 07 Jun 2011 07:06 |
Repository Staff Only: item control page
