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Sugawara Construction for the Birepresentation of the Moufang Loop |
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| Authors: | E. P. Osipov G. V. Tolkachev |
| Affiliation: | (1) Department of Theoretical Physics, Institute for Mathematics, Siberian Branch of Russian Academy of Sciences, 630090 Novosibirsk, Russia |
| Abstract: | We show explicitly the connection between the infinitesimal form of the birepresentation of the Moufang loop and the octonionic representation of SO(8). Possible types of Sugawara construction for the birepresentations are considered. |
| Keywords: | Moufang loop Mal'tsev algebra birepresentation octonions groups G2 SO(8) and E8 Sugawara construction |
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