Mackey functions, induction from restriction functors and coinduction from transfer functors

dc.citation.epage248en_US
dc.citation.issueNumber1en_US
dc.citation.spage224en_US
dc.citation.volumeNumber315en_US
dc.contributor.authorCoskun, O.en_US
dc.date.accessioned2015-07-28T12:05:41Z
dc.date.available2015-07-28T12:05:41Z
dc.date.issued2007-09-01en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractBoltje's plus constructions extend two well-known constructions on Mackey functors, the fixed-point functor and the fixed-quotient functor. In this paper, we show that the plus constructions are induction and coinduction functors of general module theory. As an application, we construct simple Mackey functors from simple restriction functors and simple transfer functors. We also give new proofs for the classification theorem for simple Mackey functors and semisimplicity theorem of Mackey functors. © 2007 Elsevier Inc. All rights reserved.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T12:05:41Z (GMT). No. of bitstreams: 1 10.1016-j.jalgebra.2007.04.026.pdf: 232062 bytes, checksum: 6e00c4bd4a98f9873445ff93927a94f5 (MD5)en
dc.identifier.doi10.1016/j.jalgebra.2007.04.026en_US
dc.identifier.eissn1090-266X
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/13313
dc.language.isoEnglishen_US
dc.publisherAcademic Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.jalgebra.2007.04.026en_US
dc.source.titleJournal of Algebraen_US
dc.subjectCoinductionen_US
dc.subjectFixed - point functoren_US
dc.subjectInductionen_US
dc.subjectMackey functorsen_US
dc.subjectPlus constructionsen_US
dc.subjectRestriction functorsen_US
dc.subjectSimple Mackey functorsen_US
dc.subjectTransfer functorsen_US
dc.titleMackey functions, induction from restriction functors and coinduction from transfer functorsen_US
dc.typeArticleen_US

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