Moufang loops and Lie algebras

Physics – Mathematical Physics

Scientific paper

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LaTeX2e, 4 pages. Presented at the 12th Colloquium 'Quantum Groups and Integrable Systems', Prague, 12-14 June 2003

Scientific paper

10.1023/B:CJOP.0000010540.18158.

It is explicitly shown how the Lie algebras can be associated with the
analytic Moufang loops. The resulting Lie algebra commutation relations are
well known from the theory of alternative algebras and can be seen as a
preliminary step to quantum Moufang loops.

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