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arxiv: 0802.3517 · v1 · submitted 2008-02-25 · 🧮 math.RT

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

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keywords trialityconceptmoufangpairstsevyamagutiananalyticconstructed
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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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