Abstract
Let A be a Weil algebra. The bijection between all natural operators lifting vector fields from m-manifolds to the bundle functor K A of Weil contact elements and the subalgebra of fixed elements SA of the Weil algebra A is determined and the bijection between all natural affinors on K A and SA is deduced. Furthermore, the rigidity of the functor K A is proved. Requisite results about the structure of SA are obtained by a purely algebraic approach, namely the existence of nontrivial SA is discussed.
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Kureš, M., Mikulski, W. Natural Operators Lifting Vector Fields to Bundles of Weil Contact Elements. Czech Math J 54, 855–867 (2004). https://doi.org/10.1007/s10587-004-6435-3
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DOI: https://doi.org/10.1007/s10587-004-6435-3