# Twisted exterior derivatives for enveloping algebras

@inproceedings{vSkoda2008TwistedED, title={Twisted exterior derivatives for enveloping algebras}, author={Zoran vSkoda}, year={2008} }

Consider any representation φ of a finite-dimensional Lie algebra g by derivations of the completed symmetric algebra Ŝ(g) of its dual. Consider the tensor product of Ŝ(g∗) and the exterior algebra Λ(g). We show that the representation φ extends canonically to the representation φ̃ of that tensor product algebra. We construct an exterior derivative on that algebra, giving rise to a twisted version of the exterior differential calculus with the universal enveloping algebra in the role of the…

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