Moufang symmetry VII. Moufang transformations
نویسنده
چکیده
Concept of a birepresentation for the Moufang loops is elaborated. 2000 MSC: 20N05
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
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 II. Moufang-Mal’tsev pairs and triality
A concept of the Moufang-Malt’tsev pair is elaborated. This concept is based on the generalized Maurer-Cartan equations of a local analytic Moufang loop. Triality can be seen as a fundamental property of such pairs. Based on triality, the Yamagutian is constructed. Properties of the Yamagutian are studied. 2000 MSC: 17D10
متن کاملMoufang transformations and Noether currents
The Noether currents generated by continuous Moufang tranformations are constructed and their equal-time commutators are found. The corresponding charge algebra turns out to be a birepresentation of the tangent Mal’ltsev algebra of an analytic Moufang loop.
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
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