A general approach to green functors using bisets

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dc.citation.epage5375en_US
dc.citation.issueNumber12en_US
dc.citation.spage5351en_US
dc.citation.volumeNumber44en_US
dc.contributor.authorBarker, L.en_US
dc.date.accessioned2018-04-12T10:46:29Z
dc.date.available2018-04-12T10:46:29Z
dc.date.issued2016en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe introduce a biset-theoretic notion of a Green functor which accommodates the functorial and ring-theoretic structural features of the modular character functor. For any Green functor A in that sense, we introduce an algebra ΛA. Any ΛA-module has the same kind of functorial structure as A and is also a module for the algebra ⊕G A(G) , where G runs over the underlying family of finite groups. In a globally defined scenario and also in a scenario localized to the subquotients of a fixed finite group, we take A to be the modular character functor, and we classify the simple ΛA-modules. © 2016, Copyright © Taylor & Francis Group, LLC.en_US
dc.identifier.doi10.1080/00927872.2016.1172601en_US
dc.identifier.eissn1532-4125
dc.identifier.issn0092-7872
dc.identifier.urihttp://hdl.handle.net/11693/36633
dc.language.isoEnglishen_US
dc.publisherTaylor & Francisen_US
dc.relation.isversionofhttp://dx.doi.org/10.1080/00927872.2016.1172601en_US
dc.source.titleCommunications in Algebraen_US
dc.subjectGreen biset functoren_US
dc.subjectGreen categoryen_US
dc.subjectModular character functoren_US
dc.subjectSynthetic algebraen_US
dc.subjectPrimary: 20C20en_US
dc.subjectSecondary: 19A22en_US
dc.titleA general approach to green functors using bisetsen_US
dc.typeArticleen_US

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