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arxiv: math-ph/0307014 · v1 · submitted 2003-07-08 · 🧮 math-ph · math.MP· math.QA

Moufang loops and Lie algebras

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keywords algebrasloopsmoufangalgebraalternativeanalyticassociatedcommutation
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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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