An inversion formula for the primitive idempotents of the trivial source algebra

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buir.contributor.authorBarker, Laurence
dc.citation.epage5454en_US
dc.citation.issueNumber12en_US
dc.citation.spage5444en_US
dc.citation.volumeNumber223en_US
dc.contributor.authorBarker, Laurenceen_US
dc.date.accessioned2020-02-05T05:55:23Z
dc.date.available2020-02-05T05:55:23Z
dc.date.issued2019
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractFormulas for the primitive idempotents of the trivial source algebra, in characteristic zero, have been given by Boltje and Bouc–Thévenaz. We shall give another formula for those idempotents, expressing them as linear combinations of the elements of a canonical basis for the integral ring. The formula is an inversion formula analogous to the Gluck–Yoshida formula for the primitive idempotents of the Burnside algebra. It involves all the irreducible characters of all the normalizers of p-subgroups. As a corollary, we shall show that the linearization map from the monomial Burnside ring has a matrix whose entries can be expressed in terms of the above Brauer characters and some reduced Euler characteristics of posetsen_US
dc.description.provenanceSubmitted by Onur Emek (onur.emek@bilkent.edu.tr) on 2020-02-05T05:55:23Z No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5)en
dc.description.provenanceMade available in DSpace on 2020-02-05T05:55:23Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5) Previous issue date: 2019en
dc.description.sponsorshipTÜBITAKen_US
dc.embargo.release2021-12-01
dc.identifier.doi10.1016/j.jpaa.2019.04.008en_US
dc.identifier.issn0022-4049
dc.identifier.urihttp://hdl.handle.net/11693/53067
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.jpaa.2019.04.008en_US
dc.source.titleJournal of Pure and Applied Algebraen_US
dc.subjectTrivial source ringen_US
dc.subjectp-permutation ringen_US
dc.subjectTable of marksen_US
dc.subjectMonimial Burnside ringen_US
dc.titleAn inversion formula for the primitive idempotents of the trivial source algebraen_US
dc.typeArticleen_US

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