Galilei covariance and (4,1) de Sitter space
High Energy Physics - Theory
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9812223,
title = {Galilei covariance and (4,1) de Sitter space},
author = {A. E. Santana and F. C. Khanna and Y. Takahashi},
journal= {arXiv preprint arXiv:hep-th/9812223},
year = {2009}
}
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