The unitary representations of the general covariant group algebra
- 1 June 1978
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 11 (6) , 1057-1067
- https://doi.org/10.1088/0305-4470/11/6/009
Abstract
A new series of unitary representations (UR) for the Lie algebra of the general covariant group in N-dimensional real vector space (group Diff RN) is constructed. The matrix representations for the generators of the algebra and the relationship between the UR for the group Diff RN algebra and the non-linear realisation of the group Diff RN algebra are found.Keywords
This publication has 7 references indexed in Scilit:
- Study of theNe21(t, p)Ne23reactionPhysical Review C, 1975
- The unitary irreducible representations of SL¯ (3,R)Journal of Mathematical Physics, 1975
- Infinite-dimensional algebra of general covariance group as the closure of finite-dimensional algebras of conformal and linear groupsLettere al Nuovo Cimento (1971-1985), 1973
- Hadronic regge sequences as primitive realizations of SL(3,R) symmetryPhysics Letters B, 1972
- Nuclear Level Structure ofPhysical Review Letters, 1966
- Representations of a semisimple Lie group on a Banach space. ITransactions of the American Mathematical Society, 1953
- Irreducible Unitary Representations of the Lorentz GroupAnnals of Mathematics, 1947