Moufang Symmetry Iv. Reductivity and Hidden Associativity
نویسنده
چکیده
It is shown how integrability of the generalized Lie equations of a local analytic Moufang loop is related to the reductivity conditions and Sagle-Yamaguti identity. 2000 MSC: 20N05, 17D10
منابع مشابه
Moufang symmetry XII. Reductivity and hidden associativity of infinitesimal Moufang transformations
It is shown how integrability of the generalized Lie equations of continous Moufang transformatiosn is related to the reductivity conditions and Sagle-Yamaguti identity. 2000 MSC: 20N05, 17D10
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An extensive study of Moufang loops is given in [2].1 One defect of that study is that it assumes Moufang's associativity theorem [6], the only published proof of which involves a complicated induction. Using pseudo-automorphisms along with recent methods of Kleinfeld and the author [S], we shall give simple noninductive proofs of three associativity theorems, one of which (Theorem 5.1) general...
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