期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 42, 期 14, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/14/145206
关键词
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资金
- MCYT FPA [2007-66665]
- CIRIT [GC 2005SGR-00564]
- Spanish Consolider-Ingenio 2010 Programme CPAN [CSD2007-00042]
We construct in a systematic way the complete Chevalley-Eilenberg cohomology at form degrees 2, 3 and 4 for the Galilei and Poincare groups. The corresponding non-trivial forms belong to certain representations of the spatial rotation (Lorentz) group. In the case of 2-forms they give all possible central and non-central extensions of the Galilei group (and all non-central extensions of the Poincare group). The procedure developed in this paper can be applied to any spacetime symmetry group.
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