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

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.

Publication year:2017

Keywords:octonions, braided linear Gr-category, Azumaya algebra

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BOF-publication weight:0.5

CSS-citation score:1

Authors:International

Authors from:Higher Education

Accessibility:Open