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http://hdl.handle.net/1942/18704| Title: | Division algebras in linear Gr-categories | Authors: | Huang, Hua-Lin Van Oystaeyen, Fred ZHANG, Yinhuo |
Issue Date: | 2014 | Publisher: | BELGIAN MATHEMATICAL SOC TRIOMPHE | Source: | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 21 (5), p. 859-872 | Abstract: | 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. | Notes: | [Huang, Hua-Lin] Shandong Univ, Sch Math, Jinan 250100, Peoples R China. [Van Oystaeyen, Fred] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium. [Zhang, Yinhuo] Univ Hasselt, Dept Math & Stat, B-3590 Diepenbeek, Belgium. hualin@sdu.edu.cn; fred.vanoystaeyen@ua.ac.be; yinhuo.zhang@uhasselt.be | Keywords: | division algebra; group cohomology; Gr-category;division algebra; group cohomology; Gr-category | Document URI: | http://hdl.handle.net/1942/18704 | Link to publication/dataset: | http://projecteuclid.org/euclid.bbms/1420071858 | ISSN: | 1370-1444 | e-ISSN: | 2034-1970 | ISI #: | 000348242800006 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2016 |
| Appears in Collections: | Research publications |
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| Division algebras in linear Gr-categories.pdf Restricted Access | Published version | 738.42 kB | Adobe PDF | View/Open Request a copy |
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