Higher-dimensional algebra VI: Lie 2-algebras. Theory and Applications of Categories (2004)
, *] : L*L! L satisfying the Jacobi identity up to a completely antisymmetric trilinearnatural transformation called the `Jacobiator', which in turn must satisfy a certain law of its own. This...
Higher-dimensional algebra VI: Lie 2-algebras. Theory and Applications of Categories (2004)
Abstract. The theory of Lie algebras can be categorified starting from a new notion of ‘2-vector space’, which we define as an internal category in Vect. There is a 2category 2Vect having these...