Moufang symmetry IV. Reductivity and hidden associativity

2008/02/25 by Eugen Paal, Paal, Eugen
Mathematics · #17D10 #20N05 #Advanced Mathematical Theories #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0802.3635

openalex publication_date 2008/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Moufang symmetry II. Moufang-Mal'tsev pairs and triality

Related

• Moufang symmetry XII. Reductivity and hidden associativity of infinitesimal Moufang transformations
• Moufang symmetry III. Integrability of generalized Lie equations
• Moufang symmetry XI. Integrability of generalized Lie equations of continuous Moufang transformations
• Moufang symmetry VI. Reductivity and hidden associativity in Mal'tsev algebras
• Moufang symmetry V. Triple closure