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Article: On Hopf algebras with positive bases

TitleOn Hopf algebras with positive bases
Authors
Issue Date2001
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jalgebra
Citation
Journal Of Algebra, 2001, v. 237 n. 2, p. 421-445 How to Cite?
AbstractWe show that if a finite dimensional Hopf algebra H over C has a basis with respect to which all the structure constants are nonnegative, then H is isomorphic to the bi-cross-product Hopf algebra constructed by Takeuchi and Majid from a finite group G and a unique factorization G=G +G - of G into two subgroups. We also show that Hopf algebras in the category of finite sets with correspondences as morphisms are classified in a similar way. Our results can be used to explain some results on Hopf algebras from the set-theoretical point of view. © 2001 Academic Press.
Persistent Identifierhttp://hdl.handle.net/10722/156127
ISSN
2014 Impact Factor: 0.599
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLu, JHen_US
dc.contributor.authorYan, Men_US
dc.contributor.authorZhu, Yen_US
dc.date.accessioned2012-08-08T08:40:30Z-
dc.date.available2012-08-08T08:40:30Z-
dc.date.issued2001en_US
dc.identifier.citationJournal Of Algebra, 2001, v. 237 n. 2, p. 421-445en_US
dc.identifier.issn0021-8693en_US
dc.identifier.urihttp://hdl.handle.net/10722/156127-
dc.description.abstractWe show that if a finite dimensional Hopf algebra H over C has a basis with respect to which all the structure constants are nonnegative, then H is isomorphic to the bi-cross-product Hopf algebra constructed by Takeuchi and Majid from a finite group G and a unique factorization G=G +G - of G into two subgroups. We also show that Hopf algebras in the category of finite sets with correspondences as morphisms are classified in a similar way. Our results can be used to explain some results on Hopf algebras from the set-theoretical point of view. © 2001 Academic Press.en_US
dc.languageengen_US
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jalgebraen_US
dc.relation.ispartofJournal of Algebraen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleOn Hopf algebras with positive basesen_US
dc.typeArticleen_US
dc.identifier.emailLu, JH:jhluhku@hku.hken_US
dc.identifier.authorityLu, JH=rp00753en_US
dc.description.naturepostprinten_US
dc.identifier.doi10.1006/jabr.2000.8459en_US
dc.identifier.scopuseid_2-s2.0-18044384094en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-18044384094&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume237en_US
dc.identifier.issue2en_US
dc.identifier.spage421en_US
dc.identifier.epage445en_US
dc.identifier.isiWOS:000167404300001-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLu, JH=35790078400en_US
dc.identifier.scopusauthoridYan, M=55182955100en_US
dc.identifier.scopusauthoridZhu, Y=7406073836en_US

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