Galilei Covariance and (4,1)-de Sitter Space | Zendy

A. E. Santana | Zendy; F. C. Khanna | Zendy; Y. Takahashi | Zendy

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Galilei Covariance and (4,1)-de Sitter Space

Author(s) -

A. E. Santana,

F. C. Khanna,

Y. Takahashi

Publication year - 1998

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.99.327

Subject(s) - physics , covariant transformation , de sitter space , mathematical physics , space (punctuation) , tensor (intrinsic definition) , manifold (fluid mechanics) , general covariance , covariance , de sitter universe , lie group , euclidean space , anti de sitter space , pure mathematics , algebra over a field , quantum mechanics , mathematics , general relativity , universe , mechanical engineering , linguistics , philosophy , statistics , engineering

A vector space G is introduced such that the Galilei transformations areconsidered linear mappings in this manifold. The covariant structure of theGalilei Group (Y. Takahashi, Fortschr. Phys. 36 (1988) 63; 36 (1988) 83) isderived and the tensor analysis is developed. It is shown that the Euclideanspace is embedded the (4,1) de Sitter space through in G. This is aninteresting and useful aspect, in particular, for the analysis carried out forthe Lie algebra of the generators of linear transformations in G.Comment: Late

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