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arXiv · 1507.02094

The octonions form an Azumaya algebra in certain braided linear Gr-categories

T. Cheng·H. Huang·Y. Yang·Y. Zhang
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Abstract

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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T. Cheng, H. Huang, Y. Yang, Y. Zhang. 2015-07-08. The octonions form an Azumaya algebra in certain braided linear Gr-categories. https://arxiv.org/abs/1507.02094

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