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Abstract: Frolicher and Nijenhuis recognized well in the middle of the previous centurythat the Lie bracket and its Jacobi identity could and should exist beyond Liealgebras. Nevertheless the conceptual meaning of their discovery has beenobscured by the messy techniques they exploited. The principal objective inthis paper is to show that the double dualization functor in a cartesian closedcategory as well as synthetic differential geometry provides an adequateframework, in which their discovery-s conceptual meaning appears lucid.



Author: Hirokazu Nishimura

Source: https://arxiv.org/



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