Alcahestic subalgebras of the alchemic algebra and a correspondence of simple modules

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dc.citation.epage2450en_US
dc.citation.issueNumber6en_US
dc.citation.spage2422en_US
dc.citation.volumeNumber320en_US
dc.contributor.authorCoşkun, Olcayen_US
dc.date.accessioned2016-02-08T10:07:43Z
dc.date.available2016-02-08T10:07:43Z
dc.date.issued2008en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractThe unified treatment of the five module-theoretic notions, transfer, inflation, transport of structure by an isomorphism, deflation and restriction, is given by the theory of biset functors, introduced by Bouc. In this paper, we construct the algebra realizing biset functors as representations. The algebra has a presentation similar to the well-known Mackey algebra. We adopt some natural constructions from the theory of Mackey functors and give two new constructions of simple biset functors. We also obtain a criterion for semisimplicity in terms of the biset functor version of the mark homomorphism. The criterion has an elementary generalization to arbitrary finite-dimensional algebras over a field.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T10:07:43Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2008en
dc.identifier.doi10.1016/j.jalgebra.2008.03.023en_US
dc.identifier.eissn1090-266Xen_US
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/23007
dc.languageEnglishen_US
dc.language.isoEnglishen_US
dc.publisherElsevier Inc.en_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.jalgebra.2008.03.023en_US
dc.source.titleJournal of Algebraen_US
dc.subjectBiset functoren_US
dc.subjectCoinductionen_US
dc.subjectGlobally-defined Mackey functoren_US
dc.subjectInflation functoren_US
dc.subjectMark homomorphismen_US
dc.subjectSemisimplicityen_US
dc.subjectSimple functoren_US
dc.subjectSimple moduleen_US
dc.titleAlcahestic subalgebras of the alchemic algebra and a correspondence of simple modulesen_US
dc.typeArticleen_US

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