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# Article

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Keywords:
Lie group; Lie algebra; dual space; twist; wrench; cohomology
Summary:
The external derivative $d$ on differential manifolds inspires graded operators on complexes of spaces $\Lambda ^rg^\ast$, $\Lambda ^rg^\ast \otimes g$, $\Lambda ^rg^\ast \otimes g^\ast$ stated by $g^\ast$ dual to a Lie algebra $g$. Cohomological properties of these operators are studied in the case of the Lie algebra $g=se( 3 )$ of the Lie group of Euclidean motions.
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