Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/18704
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dc.contributor.authorHuang, Hua-Lin-
dc.contributor.authorVan Oystaeyen, Fred-
dc.contributor.authorZHANG, Yinhuo-
dc.date.accessioned2015-04-14T09:00:19Z-
dc.date.available2015-04-14T09:00:19Z-
dc.date.issued2014-
dc.identifier.citationBULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 21 (5), p. 859-872-
dc.identifier.issn1370-1444-
dc.identifier.urihttp://hdl.handle.net/1942/18704-
dc.description.abstractWe 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.-
dc.description.sponsorshipThe research of Huang was partially supported by the SDNSF grant 2009ZRA01128 and the IIFSDU grant 2010TS021. The paper was written while Huang was visiting the University of Antwerp and he is very grateful for its hospitality. He acknowledges the Belgian FWO for the financial support which makes the visit possible.-
dc.language.isoen-
dc.publisherBELGIAN MATHEMATICAL SOC TRIOMPHE-
dc.subject.otherdivision algebra; group cohomology; Gr-category-
dc.subject.otherdivision algebra; group cohomology; Gr-category-
dc.titleDivision algebras in linear Gr-categories-
dc.typeJournal Contribution-
dc.identifier.epage872-
dc.identifier.issue5-
dc.identifier.spage859-
dc.identifier.volume21-
local.format.pages14-
local.bibliographicCitation.jcatA1-
dc.description.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-
local.publisher.placeBRUSSELS-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.isi000348242800006-
dc.identifier.urlhttp://projecteuclid.org/euclid.bbms/1420071858-
item.fullcitationHuang, Hua-Lin; Van Oystaeyen, Fred & ZHANG, Yinhuo (2014) Division algebras in linear Gr-categories. In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 21 (5), p. 859-872.-
item.validationecoom 2016-
item.contributorHuang, Hua-Lin-
item.contributorVan Oystaeyen, Fred-
item.contributorZHANG, Yinhuo-
item.fulltextWith Fulltext-
item.accessRightsRestricted Access-
crisitem.journal.issn1370-1444-
crisitem.journal.eissn2034-1970-
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