Classification of Ten-dimensional Kinematical Groups With Space Isotropy

Bacry, H.; Nuyts, J.

doi:10.1063/1.527306

Classification of Ten-dimensional Kinematical Groups With Space Isotropy

H. Bacry
(
- Marseille U., Luminy and
- IHES, Bures-sur-Yvette
)
,
J. Nuyts
(
- UMH, Mons
)

Apr, 1986

11 pages

Published in:

J.Math.Phys. 27 (1986) 2455

DOI:

10.1063/1.527306

Report number:

CPT-86-PE-1892

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Abstract: (AIP)

All the abstract ten‐dimensional real Lie algebras that contain as a subalgebra the algebra of the three‐dimensional rotation group (generators J) and decompose under the rotation group into three three‐vector representation spaces (J itself, K, and P) and a scalar (generator H) are classified. In all cases, the existence of a homogeneous space of dimension 4 is shown.

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Possible kinematics

H. Bacry
(
- Princeton, Inst. Advanced Study
)
,
J. Levy-Leblond
(
- Nice U.
)

- J.Math.Phys. 9 (1968) 1605-1614
•
DOI:
- 10.1063/1.1664490

On the Contraction of groups and their represenations

E. Inonu
(
- Princeton U.
)
,
Eugene P. Wigner
(
- Princeton U.
)

- Proc.Nat.Acad.Sci. 39 (1953) 510-524
•
DOI:
- 10.1073/pnas.39.6.510