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Title
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Division algebras in linear Gr-categories
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Author
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Abstract
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| We study division algebras in an arbitrary linear Gr-category, i.e., a category of finite-dimensional vector spaces graded by a group with associativity constraint given by a 3-cocycle. When the 3-cocycle is non-coboundary, this provides some interesting classes of nonassociative division algebras. In particular, when we work on Gr-categories over the field of real numbers, some quasi-associative version of the quaternions and octonions appear. |
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Language
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English
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Source (journal)
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Bulletin of the Belgian Mathematical Society Simon Stevin. - Brussels, 1994, currens
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Publication
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Brussels
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2014
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ISSN
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1370-1444
[print]
2034-1970
[online]
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DOI
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10.36045/BBMS/1420071858
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Volume/pages
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21
:5
(2014)
, p. 859-872
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ISI
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000348242800006
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Full text (Publisher's DOI)
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