Moufang symmetry IV. Reductivity and hidden associativity
Eugen Paal
TL;DR
This paper explores the mathematical structure of Moufang loops, demonstrating how their integrability conditions relate to reductivity and hidden associativity properties, advancing understanding of their algebraic symmetries.
Contribution
It establishes a connection between the integrability of generalized Lie equations and reductivity conditions in Moufang loops, highlighting the role of the Sagle-Yamaguti identity.
Findings
Integrability of generalized Lie equations is linked to reductivity.
Reductivity conditions are related to hidden associativity.
The Sagle-Yamaguti identity plays a key role in this relationship.
Abstract
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.
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Taxonomy
TopicsMathematics and Applications · History and Theory of Mathematics · Advanced Mathematical Theories