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

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

2008-02-25

arxiv.org/abs/0802.3517v1

Mathematics

Representation Theory

6 pages, LaTex2e, no figures

Scientific paper

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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