# Representations of the Bondi—Metzner—Sachs group in three space—time dimensions

@inproceedings{Melas2017RepresentationsOT, title={Representations of the Bondi—Metzner—Sachs group in three space—time dimensions}, author={Evangelos Melas}, year={2017} }

The original Bondi−Metzner−Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian 4−dim space−times. As such, B is the best candidate for the universal symmetry group of General Relativity (G.R.). In 1973, with this motivation, P. J. McCarthy classified all relativistic B−invariant systems in terms of strongly continuous irreducible unitary representations (IRS) of B. Here, we introduce the analogue B(2, 1) of Bondi−Metzner−Sachs group in 3 space−time…

## One Citation

On the representation theory of the Bondi–Metzner–Sachs group and its variants in three space–time dimensions

- Mathematics
- 2017

The original Bondi–Metzner–Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian radiating 4-dim space–times. As such, B is the best candidate for the…

## References

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On the representation theory of the Bondi–Metzner–Sachs group and its variants in three space–time dimensions

- Mathematics
- 2017

The original Bondi–Metzner–Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian radiating 4-dim space–times. As such, B is the best candidate for the…

Lifting of projective representations of the Bondi—Metzner—Sachs group

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- 1978

Following some motivating remarks on the role of group theory in physics, it is explained how a systematic study of the asymptotic symmetry group of general relativity, the Bondi-Metzner-Sachs group,…

Representations of the Bondi—Metzner—Sachs group I. Determination of the representations

- MathematicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1972

Following a historical introduction, it is suggested that irreducible unitary representations of the Bondi-Metzner-Sachs group may be used to classify elementary particles in a quantum theory which…

The Bondi—Metzner—Sachs group in the nuclear topology

- MathematicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1975

The Bondi-Metzner-Sachs group is topologized as a nuclear Lie group, and it is shown th at irreducible representations arise from either (i) transitive SL{2,C) actions on supermomentum space, or (ii)…

Construction of the irreducibles of B(2, 2)

- Mathematics
- 2006

The ordinary Bondi–Metzner–Sachs (BMS) group B is the common asymptotic symmetry group of all radiating, asymptotically flat, Lorentzian spacetimes. As such, B is the best candidate for the universal…

Representations of the ultrahyperbolic BMS group HB.II. Determination of the representations induced from infinite little groups

- Mathematics
- 2013

The ordinary Bondi-Metzner-Sachs (BMS) group B is the common asymptotic symmetry group of all asymptotically flat Lorentzian space-times. As such, B is the best candidate for the universal symmetry…

Representations of the Bondi-Metzner-Sachs group - II. Properties and classification of the representations

- MathematicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1973

A proof is given that all (and not merely all connected) little groups of the B. M. S. group are compact, so that B. M. S. spins are discrete whether or not the little groups are connected. The…

Representations of the Bondi-Metzner—Sachs group III. Poincaré spin multiplicities and irreducibility

- MathematicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1973

It has been conjectured that representations of the B.M.S. group may be of relevance to the classification of elementary particles. In an effort to examine this conjecture, the Poincaré spin…

The BMS group and generalized gravitational instantons

- Mathematics
- 2004

The ordinary Bondi–Metzner–Sachs (BMS) group B is the best candidate for the fundamental symmetry group of General Relativity. It has been shown that B admits generalizations to real space–times of…