Combinatorial classification of piecewise hereditary algebras

Autores
Lanzilotta, Marcelo; Redondo, Maria Julia; Taillefer, Rachel
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We use the characteristic polynomial of the Coxeter matrix of an algebra to complete the combinatorial classification of piecewise hereditary algebras which Happel gave in terms of the trace of the Coxeter matrix. We also give a cohomological interpretation of the coefficients (other than the trace) of the characteristic polynomial of the Coxeter matrix of any finite dimensional algebra with finite global dimension.
Fil: Lanzilotta, Marcelo. Universidad de la República; Uruguay
Fil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina. Universidad Nacional del Sur; Argentina
Fil: Taillefer, Rachel. Université de Saint-Etienne. Faculté des Sciences; Francia
Materia
PIECEWISE HEREDITARY ALGEBRA
COXETER POLYNOMIAL
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/15442
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Combinatorial classification of piecewise hereditary algebrasLanzilotta, MarceloRedondo, Maria JuliaTaillefer, RachelPIECEWISE HEREDITARY ALGEBRACOXETER POLYNOMIALhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We use the characteristic polynomial of the Coxeter matrix of an algebra to complete the combinatorial classification of piecewise hereditary algebras which Happel gave in terms of the trace of the Coxeter matrix. We also give a cohomological interpretation of the coefficients (other than the trace) of the characteristic polynomial of the Coxeter matrix of any finite dimensional algebra with finite global dimension.Fil: Lanzilotta, Marcelo. Universidad de la República; UruguayFil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina. Universidad Nacional del Sur; ArgentinaFil: Taillefer, Rachel. Université de Saint-Etienne. Faculté des Sciences; FranciaDe Gruyter2011-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/15442Lanzilotta, Marcelo; Redondo, Maria Julia; Taillefer, Rachel; Combinatorial classification of piecewise hereditary algebras; De Gruyter; Forum Mathematicum; 23; 6; 1-2011; 1203-12150933-77411435-5337enginfo:eu-repo/semantics/altIdentifier/doi/10.1515/form.2011.044info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/form.2011.23.issue-6/form.2011.044/form.2011.044.xmlinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0903.4326info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:22:30Zoai:ri.conicet.gov.ar:11336/15442instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:22:30.948CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Combinatorial classification of piecewise hereditary algebras
title Combinatorial classification of piecewise hereditary algebras
spellingShingle Combinatorial classification of piecewise hereditary algebras
Lanzilotta, Marcelo
PIECEWISE HEREDITARY ALGEBRA
COXETER POLYNOMIAL
title_short Combinatorial classification of piecewise hereditary algebras
title_full Combinatorial classification of piecewise hereditary algebras
title_fullStr Combinatorial classification of piecewise hereditary algebras
title_full_unstemmed Combinatorial classification of piecewise hereditary algebras
title_sort Combinatorial classification of piecewise hereditary algebras
dc.creator.none.fl_str_mv Lanzilotta, Marcelo
Redondo, Maria Julia
Taillefer, Rachel
author Lanzilotta, Marcelo
author_facet Lanzilotta, Marcelo
Redondo, Maria Julia
Taillefer, Rachel
author_role author
author2 Redondo, Maria Julia
Taillefer, Rachel
author2_role author
author
dc.subject.none.fl_str_mv PIECEWISE HEREDITARY ALGEBRA
COXETER POLYNOMIAL
topic PIECEWISE HEREDITARY ALGEBRA
COXETER POLYNOMIAL
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We use the characteristic polynomial of the Coxeter matrix of an algebra to complete the combinatorial classification of piecewise hereditary algebras which Happel gave in terms of the trace of the Coxeter matrix. We also give a cohomological interpretation of the coefficients (other than the trace) of the characteristic polynomial of the Coxeter matrix of any finite dimensional algebra with finite global dimension.
Fil: Lanzilotta, Marcelo. Universidad de la República; Uruguay
Fil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina. Universidad Nacional del Sur; Argentina
Fil: Taillefer, Rachel. Université de Saint-Etienne. Faculté des Sciences; Francia
description We use the characteristic polynomial of the Coxeter matrix of an algebra to complete the combinatorial classification of piecewise hereditary algebras which Happel gave in terms of the trace of the Coxeter matrix. We also give a cohomological interpretation of the coefficients (other than the trace) of the characteristic polynomial of the Coxeter matrix of any finite dimensional algebra with finite global dimension.
publishDate 2011
dc.date.none.fl_str_mv 2011-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/15442
Lanzilotta, Marcelo; Redondo, Maria Julia; Taillefer, Rachel; Combinatorial classification of piecewise hereditary algebras; De Gruyter; Forum Mathematicum; 23; 6; 1-2011; 1203-1215
0933-7741
1435-5337
url http://hdl.handle.net/11336/15442
identifier_str_mv Lanzilotta, Marcelo; Redondo, Maria Julia; Taillefer, Rachel; Combinatorial classification of piecewise hereditary algebras; De Gruyter; Forum Mathematicum; 23; 6; 1-2011; 1203-1215
0933-7741
1435-5337
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1515/form.2011.044
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/form.2011.23.issue-6/form.2011.044/form.2011.044.xml
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0903.4326
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv De Gruyter
publisher.none.fl_str_mv De Gruyter
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844614216795815936
score 13.070432

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