Moufang symmetry XII. Reductivity and hidden associativity of infinitesimal Moufang transformations
نویسنده
چکیده
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
منابع مشابه
Moufang Symmetry Iv. Reductivity and Hidden Associativity
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
متن کاملMoufang symmetry VI. Reductivity and hidden associativity in Mal’tsev algebras
Reductivity in the Ma’tsev algebras is inquired. This property relates the Mal’tsev algebras to the general Lie triple systems. 2000 MSC: 20N05, 17D10
متن کاملMoufang symmetry X. Generalized Lie and Maurer-Cartan equations of continuous Moufang transformations
The differential equations for a continuous birepresentation of a local analytic Moufang loop are established. The commutation relations for the infinitesimal operators of the birepresentation are found. These commutation relations can be seen as a (minimal) generalization of the Maurer-Cartan equations and do not depend on the particular birepresentation. 2000 MSC: 20N05, 17D10
متن کاملMoufang symmetry VII. Moufang transformations
Concept of a birepresentation for the Moufang loops is elaborated. 2000 MSC: 20N05
متن کاملMoufang symmetry I. Generalized Lie and Maurer-Cartan equations
The differential equations for a local analytic Moufang loop are established. The commutation relations for the infinitesimal translations of the analytic Moufang are found. These commutation relations can be seen as a (minimal) generalization of the Maurer-Cartan equations. 2000 MSC: 20N05, 17D10
متن کامل