The Jacobi Identity beyond Lie Algebras
نویسنده
چکیده
Frölicher and Nijenhuis recognized well in the middle of the previous century that the Lie bracket and its Jacobi identity could and should exist beyond Lie algebras. Nevertheless, the conceptual status of their discovery has been obscured by the genuinely algebraic techniques they exploited. The principal objective in this paper is to show that the double dualization functor in a Cartesian closed category as well as synthetic differential geometry provides an adequate framework, in which their discovery’s conceptual meaning appears lucid. The general Jacobi identity discovered by the author [13] will play a central role.
منابع مشابه
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