Galilei covariance and (4,1) de Sitter space

Details Galilei covariance and (4,1) de Sitter space Galilei covariance and (4,1) de Sitter space

1998-12-23

arxiv.org/abs/hep-th/9812223v1

Prog.Theor.Phys. 99 (1998) 327-336

Physics

High Energy Physics

High Energy Physics - Theory

Latex

Scientific paper

10.1143/PTP.99.327

A vector space G is introduced such that the Galilei transformations are considered linear mappings in this manifold. The covariant structure of the Galilei Group (Y. Takahashi, Fortschr. Phys. 36 (1988) 63; 36 (1988) 83) is derived and the tensor analysis is developed. It is shown that the Euclidean space is embedded the (4,1) de Sitter space through in G. This is an interesting and useful aspect, in particular, for the analysis carried out for the Lie algebra of the generators of linear transformations in G.

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