Marta Baksova, Technical University, Zvolen, Slovak Republic, e-mail: baksova@vsld.tuzvo.sk; Anton Dekret, Matej Bell University, Banska Bystrica, Slovak Republic, e-mail: dekret@fpv.umb.sk
Abstract: 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.
Keywords: Lie group, Lie algebra, dual space, twist, wrench, cohomology
Classification (MSC 2000): 70B15, 22E60, 22E70
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