Seminormal forms and Gram determinants for cellular algebras

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dc.identifier.uri http://dx.doi.org/10.15488/236
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/258
dc.contributor.author Mathas, Andrew
dc.contributor.author Soriano, Marcos
dc.date.accessioned 2016-03-04T11:42:37Z
dc.date.available 2016-03-04T11:42:37Z
dc.date.issued 2008-06
dc.identifier.citation Mathas, Andrew; Soriano, Marcos: Seminormal forms and Gram determinants for cellular algebras. In: Journal für die reine und angewandte Mathematik 2008 (2008), Nr. 619, S. 141-173. DOI: http://dx.doi.org/10.1515/CRELLE.2008.042
dc.description.abstract This paper develops an abstract framework for constructing ‘‘seminormal forms’’ for cellular algebras. That is, given a cellular R-algebra A which is equipped with a family of JM-elements we give a general technique for constructing orthogonal bases for A, and for all of its irreducible representations, when the JM-elements separate A. The seminormal forms for A are defined over the field of fractions of R. Significantly, we show that the Gram determinant of each irreducible A-module is equal to a product of certain structure constants coming from the seminormal basis of A. In the non-separated case we use our seminormal forms to give an explicit basis for a block decomposition of A. eng
dc.language.iso eng
dc.publisher Berlin : Walter de Gruyter
dc.relation.ispartofseries Journal für die reine und angewandte Mathematik 2008 (2008), Nr. 619
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject algebra eng
dc.subject Cayley-Hamilton theorem eng
dc.subject.ddc 510 | Mathematik ger
dc.title Seminormal forms and Gram determinants for cellular algebras
dc.type article
dc.type Text
dc.relation.essn 1435-5345
dc.relation.issn 0075-4102
dc.relation.doi http://dx.doi.org/10.1515/CRELLE.2008.042
dc.bibliographicCitation.issue 619
dc.bibliographicCitation.volume 2008
dc.bibliographicCitation.firstPage 141
dc.bibliographicCitation.lastPage 173
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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