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http://hdl.handle.net/1942/23769| Title: | The octonions form an Azumaya algebra in certain braided linear Gr-categories | Authors: | CHENG, Tao Huang, Huao-Lin Yang, Yuping ZHANG, Yinhuo |
Issue Date: | 2017 | Source: | Advances in Applied Clifford Algebras, 27(2), p. 1055-1064 | 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. | Notes: | Huang, HL (reprint author), Shandong Univ, Sch Math, Jinan 250100, Peoples R China. taocheng@sdnu.edu.cn; hualin.huang@foxmail.com; yupingyang.sdu@gmail.com; yinhuo.zhang@uhasselt.be | Keywords: | octonions; braided linear Gr-category; Azumaya algebra | Document URI: | http://hdl.handle.net/1942/23769 | ISSN: | 0188-7009 | e-ISSN: | 1661-4909 | DOI: | 10.1007/s00006-016-0656-z | ISI #: | 000401669000013 | Rights: | (c) 2016 Springer International Publishing | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
| Appears in Collections: | Research publications |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| The octonions form an Azumaya algebra in certain braided linear Gr-categories.pdf Restricted Access | Published version | 703.99 kB | Adobe PDF | View/Open Request a copy |
| Octonions5.pdf | Peer-reviewed author version | 332.66 kB | Adobe PDF | View/Open |
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