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 |
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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 |
eng |
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 |
|