The octonions form an Azumaya algebra in certain braided linear Gr-categories
Quantum Algebra
2015-07-10 v2
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.
Keywords
Cite
@article{arxiv.1507.02094,
title = {The octonions form an Azumaya algebra in certain braided linear Gr-categories},
author = {T. Cheng and H. Huang and Y. Yang and Y. Zhang},
journal= {arXiv preprint arXiv:1507.02094},
year = {2015}
}