Open AccessApplications of the double and the dual numbers. The Bianchi models
Author(s) -
G. F. Torres del Castillo
Publication year - 2020
Publication title -
revista mexicana de física e
Language(s) - English
Resource type - Journals
eISSN - 2683-2216
pISSN - 1870-3542
DOI - 10.31349/revmexfise.17.146
Subject(s) - dual (grammatical number) , dimension (graph theory) , lie group , invariant (physics) , fourth dimension , mathematics , physics , pure mathematics , mathematical physics , algebra over a field , quantum mechanics , philosophy , linguistics , spacetime
We show that by using complex, double, and dual numbers one can find the invariant one-forms employed in the metrics of the Bianchi cosmological models. The result is equivalent to find, locally, all the Lie groups of dimension three.
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