On the algebraic structure of central molecular chirality

Autores
Fernández, Francisco Marcelo
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that a group of 24 4×4 permutation matrices that proved suitable for the study of chirality is a reducible representation of the group Td . Consequently, all the mathematical properties of the former matrices can be easily inferred from the table of characters of the latter group. We also show that the group of 4×4 permutation matrices is isomorphic to a group of 3×3 ones that form an irreducible representation of the elements of the group Td . We discuss the one-to-one correspondence between the two sets of matrices. A similar analysis can be carried out with the point group O.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Materia
Chirality
Prmutation Matrices
Group Theory
Homomorphism
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:11336/48846
Acceder
id CONICETDig_d450e1d7e47b4fe732de5e1e755fb765
oai_identifier_str oai:ri.conicet.gov.ar:11336/48846
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the algebraic structure of central molecular chiralityFernández, Francisco MarceloChiralityPrmutation MatricesGroup TheoryHomomorphismhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We show that a group of 24 4×4 permutation matrices that proved suitable for the study of chirality is a reducible representation of the group Td . Consequently, all the mathematical properties of the former matrices can be easily inferred from the table of characters of the latter group. We also show that the group of 4×4 permutation matrices is isomorphic to a group of 3×3 ones that form an irreducible representation of the elements of the group Td . We discuss the one-to-one correspondence between the two sets of matrices. A similar analysis can be carried out with the point group O.Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; ArgentinaSpringer2015-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/48846Fernández, Francisco Marcelo; On the algebraic structure of central molecular chirality; Springer; Journal of Mathematical Chemistry; 54; 2; 11-2015; 552-5580259-97911572-8897CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007%2Fs10910-015-0577-4info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10910-015-0577-4info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:18:31Zoai:ri.conicet.gov.ar:11336/48846instacron: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:34982025-09-10 13:18:31.414CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the algebraic structure of central molecular chirality
title On the algebraic structure of central molecular chirality
spellingShingle On the algebraic structure of central molecular chirality
Fernández, Francisco Marcelo
Chirality
Prmutation Matrices
Group Theory
Homomorphism
title_short On the algebraic structure of central molecular chirality
title_full On the algebraic structure of central molecular chirality
title_fullStr On the algebraic structure of central molecular chirality
title_full_unstemmed On the algebraic structure of central molecular chirality
title_sort On the algebraic structure of central molecular chirality
dc.creator.none.fl_str_mv Fernández, Francisco Marcelo
author Fernández, Francisco Marcelo
author_facet Fernández, Francisco Marcelo
author_role author
dc.subject.none.fl_str_mv Chirality
Prmutation Matrices
Group Theory
Homomorphism
topic Chirality
Prmutation Matrices
Group Theory
Homomorphism
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We show that a group of 24 4×4 permutation matrices that proved suitable for the study of chirality is a reducible representation of the group Td . Consequently, all the mathematical properties of the former matrices can be easily inferred from the table of characters of the latter group. We also show that the group of 4×4 permutation matrices is isomorphic to a group of 3×3 ones that form an irreducible representation of the elements of the group Td . We discuss the one-to-one correspondence between the two sets of matrices. A similar analysis can be carried out with the point group O.
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
description We show that a group of 24 4×4 permutation matrices that proved suitable for the study of chirality is a reducible representation of the group Td . Consequently, all the mathematical properties of the former matrices can be easily inferred from the table of characters of the latter group. We also show that the group of 4×4 permutation matrices is isomorphic to a group of 3×3 ones that form an irreducible representation of the elements of the group Td . We discuss the one-to-one correspondence between the two sets of matrices. A similar analysis can be carried out with the point group O.
publishDate 2015
dc.date.none.fl_str_mv 2015-11
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/11336/48846
Fernández, Francisco Marcelo; On the algebraic structure of central molecular chirality; Springer; Journal of Mathematical Chemistry; 54; 2; 11-2015; 552-558
0259-9791
1572-8897
CONICET Digital
CONICET
url http://hdl.handle.net/11336/48846
identifier_str_mv Fernández, Francisco Marcelo; On the algebraic structure of central molecular chirality; Springer; Journal of Mathematical Chemistry; 54; 2; 11-2015; 552-558
0259-9791
1572-8897
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007%2Fs10910-015-0577-4
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10910-015-0577-4
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 Springer
publisher.none.fl_str_mv Springer
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_ 1842981012825440256
score 12.993085

Publicaciones similares