The unitary representations of the Diff RNgroup
- 1 October 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (10) , 1625-1631
- https://doi.org/10.1088/0305-4470/12/10/010
Abstract
A new series of unitary representations of the general covariant group in N-dimensional real vector space (group Diff RN) is constructed. The matrix elements of the finite transformations in the space of the principal series of unitary representations of the special linear group SL(N,R)(N>3) and in the space of all series of unitary representations of SL(2,R), SL(3,R) are found.Keywords
This publication has 2 references indexed in Scilit:
- The unitary representations of the general covariant group algebraJournal of Physics A: General Physics, 1978
- The infinite groups of Lie and Cartan Part I, (The transitive groups)Journal d'Analyse Mathématique, 1965