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

2008/02/25 by Eugen Paal, Paal, Eugen · 2 citations
Mathematics · Social Sciences · #17D10 #FOS: Mathematics #Global Maritime and Colonial Histories #Representation Theory (math.RT) #math.RT #msc:17D10

paper · pdf · doi:10.48550/arxiv.0802.3517

6 pages, LaTex2e, no figures

arxiv created 2008/02/25 · openalex publication_date 2008/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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