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The octonions form an Azumaya algebra in certain braided linear Gr-categories
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The octonions form an Azumaya algebra in certain braided linear Gr-categories
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algebraoctonionsazumayabraidedcertainformgr-categorieslinear
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By applying the idea of viewing the octonions as an associative algebra in certain tensor categories, or more precisely as a twisted group algebra by a 2-cochain, we show that the octonions form an Azumaya algebra in some suitable braided linear Gr-categories.
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