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Associativa egenskaper hos oktonionerna
Örebro University, School of Science and Technology.
2019 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This essay demonstrates that the clasical octonions are associative as an algebra in tensor category if given an adequate associator. The foundation of the essay is the equivalance between the tensor category of modules over a quasi-Hopf algebra and the tensor category of comodules over a Hopf-quasi algebra and adapts some of the results in Helena Albuquerque's and Shahn Majid's Quasialgebra Structure of the Octonions [1]. The result of our paper is that the octonions can be described as a algebra in a tensor category of Z3 2graded vectorspaces and that there exists associators such that this algebra is associative. We also demonstrate this for a particular associator.

Place, publisher, year, edition, pages
2019. , p. 29
National Category
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-74949OAI: oai:DiVA.org:oru-74949DiVA, id: diva2:1334335
Subject / course
Mathematics
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Available from: 2019-07-02 Created: 2019-07-02 Last updated: 2019-07-02Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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