Green correspondence for Mackey functors
| buir.advisor | Barker, Laurence J. | |
| dc.contributor.author | Uç, Mehmet | |
| dc.date.accessioned | 2016-01-08T18:03:45Z | |
| dc.date.available | 2016-01-08T18:03:45Z | |
| dc.date.issued | 2008 | |
| dc.description | Ankara : The Department of Mathematics and the Institute of Engineering and Science of Bilkent University, 2008. | en_US |
| dc.description | Thesis (Master's) -- Bilkent University, 2008. | en_US |
| dc.description | Includes bibliographical references leaves 57-58. | en_US |
| dc.description.abstract | The Green corespondence for modules of group algebras was introduced by Green in 1964. A version for Mackey functors was introduced by Sasaki in 1982. Sasaki’s characterization of Mackey functor correspondence was based on the theory of Green functors. In this thesis, we give Sasaki’s characterization and an alternative characterization of the Mackey functor correspondence. Our characterization is closer to Green’s original module theoretic approach. We show that the two characterizations are equivalent. This yields a new way of determining vertices, sources and Green correspondents; we shall illustrate this with some examples. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-01-08T18:03:45Z (GMT). No. of bitstreams: 1 0003499.pdf: 308913 bytes, checksum: c119c2fbc90fbd94019271bd3117563f (MD5) | en |
| dc.description.statementofresponsibility | Uç, Mehmet | en_US |
| dc.format.extent | vi, 58 leaves | en_US |
| dc.identifier.uri | http://hdl.handle.net/11693/14646 | |
| dc.language.iso | English | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Green correspondence | en_US |
| dc.subject | defect group | en_US |
| dc.subject | defect base | en_US |
| dc.subject | source | en_US |
| dc.subject | vertex | en_US |
| dc.subject | endomorphism Green functor | en_US |
| dc.subject | Mackey functor | en_US |
| dc.subject | Green functor | en_US |
| dc.subject.lcc | QA169 .U2 2008 | en_US |
| dc.subject.lcsh | Green functors. | en_US |
| dc.subject.lcsh | Functor theory. | en_US |
| dc.subject.lcsh | Algebraic functions. | en_US |
| dc.title | Green correspondence for Mackey functors | en_US |
| dc.type | Thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Bilkent University | |
| thesis.degree.level | Master's | |
| thesis.degree.name | MS (Master of Science) |
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