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Sugawara Construction for the Birepresentation of the Moufang Loop

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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.

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Authors and Affiliations

  1. Department of Theoretical Physics, Institute for Mathematics, Siberian Branch of Russian Academy of Sciences, 630090, Novosibirsk, Russia

    E. P. Osipov & G. V. Tolkachev

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  1. E. P. Osipov
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  2. G. V. Tolkachev
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Osipov, E.P., Tolkachev, G.V. Sugawara Construction for the Birepresentation of the Moufang Loop. Acta Applicandae Mathematicae 50, 93–102 (1998). https://doi.org/10.1023/A:1005867118177

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  • DOI: https://doi.org/10.1023/A:1005867118177

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