Analytic linear Lie rack structures on a vector space are characterized by a Leibniz bracket plus a sequence of invariant multilinear maps, and sl2(R) and so(3) are shown to be rigid: all such racks are exponentials of a scalar multiple of the adjoint map.
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Analytic Linear Lie rack Structures on Leibniz Algebras
Analytic linear Lie rack structures on a vector space are characterized by a Leibniz bracket plus a sequence of invariant multilinear maps, and sl2(R) and so(3) are shown to be rigid: all such racks are exponentials of a scalar multiple of the adjoint map.