Mackey decomposition for Brauer pairs
| buir.advisor | Barker, Laurence J. | |
| dc.contributor.author | Okur, Utku | |
| dc.date.accessioned | 2020-08-28T08:52:48Z | |
| dc.date.available | 2020-08-28T08:52:48Z | |
| dc.date.copyright | 2020-08 | |
| dc.date.issued | 2020-08 | |
| dc.date.submitted | 2020-08-13 | |
| dc.department | Department of Mathematics | en_US |
| dc.description | Cataloged from PDF version of article. | en_US |
| dc.description | Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2020. | en_US |
| dc.description | Includes bibliographical references (leave 85). | en_US |
| dc.description.abstract | For a finite group G and an algebraically closed field k of characteristic p, a k-algebra A with a G-action is called a G-algebra. A pair (P,c) such that P is a p-subgroup of G and c is a block idempotent of the G-algebra A(P)is called a Brauer pair. Brauer pairs form a refinement of the G-poset of p-subgroups of a finite group G. We define the ordinary Mackey category B of Brauer pairs on an interior p-permutation G-algebra A over an algebraically closed field k of characteristic p. We then show that, given a field K of characteristic zero and a primitive idempotent f ∈ AG, then the category algebra of Bf over K is semisimple. | en_US |
| dc.description.degree | M.S. | en_US |
| dc.description.statementofresponsibility | by Utku Okur | en_US |
| dc.format.extent | vi, 85 leaves ; 30 cm. | en_US |
| dc.identifier.itemid | B150793 | |
| dc.identifier.uri | http://hdl.handle.net/11693/53964 | |
| dc.language.iso | English | en_US |
| dc.publisher | Bilkent University | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Brauer pair | en_US |
| dc.subject | Mackey decomposition | en_US |
| dc.title | Mackey decomposition for Brauer pairs | en_US |
| dc.title.alternative | Brauer ikilileri için Mackey ayrışması | en_US |
| dc.type | Thesis | en_US |