Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide

Detalhes bibliográficos
Autor(a) principal: Fernandes, Rosário
Data de Publicação: 2020
Outros Autores: da Cruz, Henrique F., Salomão, Domingos
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10362/104983
Resumo: FCT (UID/MAT/00212/2019) FCT (UID/MAT/00297/2019)
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spelling Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide(0,1)-matricesBruhat orderPartial orderSecondary Bruhat orderAlgebra and Number TheoryGeometry and TopologyComputational Theory and MathematicsFCT (UID/MAT/00212/2019) FCT (UID/MAT/00297/2019)Given two nonincreasing integral vectors R and S, with the same sum, we denote by A(R, S) the class of all (0,1)-matrices with row sum vector R, and column sum vector S. The Bruhat order and the Secondary Bruhat order on A(R, S) are both extensions of the classical Bruhat order on Sn, the symmetric group of degree n. These two partial orders on A(R, S) are, in general, different. In this paper we prove that if R = (2,2,…,2) or R = (1,1,…,1), then the Bruhat order and the Secondary Bruhat order on A(R, S) coincide.DM - Departamento de MatemáticaCMA - Centro de Matemática e AplicaçõesRUNFernandes, Rosárioda Cruz, Henrique F.Salomão, Domingos2024-07-21T00:32:10Z2020-07-012020-07-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/104983eng0167-8094PURE: 18785774https://doi.org/10.1007/s11083-019-09500-8info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-22T01:35:53Zoai:run.unl.pt:10362/104983Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T17:18:59.242393Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide
title Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide
spellingShingle Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide
Fernandes, Rosário
(0,1)-matrices
Bruhat order
Partial order
Secondary Bruhat order
Algebra and Number Theory
Geometry and Topology
Computational Theory and Mathematics
title_short Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide
title_full Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide
title_fullStr Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide
title_full_unstemmed Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide
title_sort Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide
author Fernandes, Rosário
author_facet Fernandes, Rosário
da Cruz, Henrique F.
Salomão, Domingos
author_role author
author2 da Cruz, Henrique F.
Salomão, Domingos
author2_role author
author
dc.contributor.none.fl_str_mv DM - Departamento de Matemática
CMA - Centro de Matemática e Aplicações
RUN
dc.contributor.author.fl_str_mv Fernandes, Rosário
da Cruz, Henrique F.
Salomão, Domingos
dc.subject.por.fl_str_mv (0,1)-matrices
Bruhat order
Partial order
Secondary Bruhat order
Algebra and Number Theory
Geometry and Topology
Computational Theory and Mathematics
topic (0,1)-matrices
Bruhat order
Partial order
Secondary Bruhat order
Algebra and Number Theory
Geometry and Topology
Computational Theory and Mathematics
description FCT (UID/MAT/00212/2019) FCT (UID/MAT/00297/2019)
publishDate 2020
dc.date.none.fl_str_mv 2020-07-01
2020-07-01T00:00:00Z
2024-07-21T00:32:10Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/104983
url http://hdl.handle.net/10362/104983
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0167-8094
PURE: 18785774
https://doi.org/10.1007/s11083-019-09500-8
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
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repository.mail.fl_str_mv info@rcaap.pt
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