Abstract
The explicit matrix formulae that resolve Cartan's first structure equations with respect to connection are suggested. They do not involve matrix inversions and seem to be useful for insertion into specialized computer algebra systems.
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Tertychniy, S.I. The calculation of connection from the first structure equations. Gen Relat Gravit 23, 305–311 (1991). https://doi.org/10.1007/BF00762292
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DOI: https://doi.org/10.1007/BF00762292