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

DOI10.1007/s00006-016-0656-zzbMath1366.16013arXiv1507.02094OpenAlexW791436221MaRDI QIDQ2361371

Yuping Yang, Yinhuo Zhang, Tao Cheng, Hua-Lin Huang

Publication date: 30 June 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02094

zbMATH Keywords

Azumaya algebraoctonionsbraided linear Gr-category

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (1)

A new view of generalized Clifford algebras

Cites Work

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• The braided monoidal structures on a class of linear Gr-categories
• Generalized Clifford algebras as algebras in suitable symmetric linear Gr-categories
• The Brauer group of a braided monoidal category
• Gradings on octonions
• Clifford algebras obtained by twisting of group algebras
• Quasialgebra structure of the octonions
• The octonions
• Graded Brauer Groups.
• The Brauer Group of Graded Azumaya Algebras

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