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On some cohomological properties of the Lie algebra of Euclidean motions

Marta Bakšová, Anton Dekrét (2009)

Mathematica Bohemica

The external derivative d on differential manifolds inspires graded operators on complexes of spaces Λ r g * , Λ r g * g , Λ r g * g * stated by g * dual to a Lie algebra g . Cohomological properties of these operators are studied in the case of the Lie algebra g = s e ( 3 ) of the Lie group of Euclidean motions.

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