Algebraic and rational differential invariants

These notes start with an introduction to differential invariants. They continue with an algebraic treatment of the theory. The algebraic, differential algebraic and differential geometric tools that are necessary to the development of the theory are explained in detail. We expose the recent results...

Full description

Autores:
Blásquez-Sanz, David
Tipo de recurso:
Article of journal
Fecha de publicación:
2012
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73813
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73813
http://bdigital.unal.edu.co/38290/
Palabra clave:
differential invariants
rational invariants
jet spaces
geometric invariant theory.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_01ec9cc0ce12cb2344a7c8b2532b0480
oai_identifier_str oai:repositorio.unal.edu.co:unal/73813
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Blásquez-Sanz, Davidd9a690ee-c9e4-42b6-9707-eaa8cc7abdc83002019-07-03T16:52:43Z2019-07-03T16:52:43Z2012https://repositorio.unal.edu.co/handle/unal/73813http://bdigital.unal.edu.co/38290/These notes start with an introduction to differential invariants. They continue with an algebraic treatment of the theory. The algebraic, differential algebraic and differential geometric tools that are necessary to the development of the theory are explained in detail. We expose the recent results on the topic of rational and algebraic differential invariants. Finally we give a new algebraic version of the finiteness theorem of Lie–Tresse for the case of finite dimensional algebraic groups.application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40864Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 19, núm. 2 (2012); 133-188 Boletín de Matemáticas; Vol. 19, núm. 2 (2012); 133-188 2357-6529 0120-0380Blásquez-Sanz, David (2012) Algebraic and rational differential invariants. Boletín de Matemáticas; Vol. 19, núm. 2 (2012); 133-188 Boletín de Matemáticas; Vol. 19, núm. 2 (2012); 133-188 2357-6529 0120-0380 .Algebraic and rational differential invariantsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTdifferential invariantsrational invariantsjet spacesgeometric invariant theory.ORIGINAL40864-184027-1-PB.pdfapplication/pdf377213https://repositorio.unal.edu.co/bitstream/unal/73813/1/40864-184027-1-PB.pdf9a330d30ed02809ac62183a7de400cc9MD51THUMBNAIL40864-184027-1-PB.pdf.jpg40864-184027-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5048https://repositorio.unal.edu.co/bitstream/unal/73813/2/40864-184027-1-PB.pdf.jpg2a7015998aa636914bdb513b447ec879MD52unal/73813oai:repositorio.unal.edu.co:unal/738132024-06-26 23:10:38.579Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Algebraic and rational differential invariants
title Algebraic and rational differential invariants
spellingShingle Algebraic and rational differential invariants
differential invariants
rational invariants
jet spaces
geometric invariant theory.
title_short Algebraic and rational differential invariants
title_full Algebraic and rational differential invariants
title_fullStr Algebraic and rational differential invariants
title_full_unstemmed Algebraic and rational differential invariants
title_sort Algebraic and rational differential invariants
dc.creator.fl_str_mv Blásquez-Sanz, David
dc.contributor.author.spa.fl_str_mv Blásquez-Sanz, David
dc.subject.proposal.spa.fl_str_mv differential invariants
rational invariants
jet spaces
geometric invariant theory.
topic differential invariants
rational invariants
jet spaces
geometric invariant theory.
description These notes start with an introduction to differential invariants. They continue with an algebraic treatment of the theory. The algebraic, differential algebraic and differential geometric tools that are necessary to the development of the theory are explained in detail. We expose the recent results on the topic of rational and algebraic differential invariants. Finally we give a new algebraic version of the finiteness theorem of Lie–Tresse for the case of finite dimensional algebraic groups.
publishDate 2012
dc.date.issued.spa.fl_str_mv 2012
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:52:43Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:52:43Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/73813
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/38290/
url https://repositorio.unal.edu.co/handle/unal/73813
http://bdigital.unal.edu.co/38290/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/bolma/article/view/40864
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Boletín de Matemáticas; Vol. 19, núm. 2 (2012); 133-188 Boletín de Matemáticas; Vol. 19, núm. 2 (2012); 133-188 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Blásquez-Sanz, David (2012) Algebraic and rational differential invariants. Boletín de Matemáticas; Vol. 19, núm. 2 (2012); 133-188 Boletín de Matemáticas; Vol. 19, núm. 2 (2012); 133-188 2357-6529 0120-0380 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Boletín de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/73813/1/40864-184027-1-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/73813/2/40864-184027-1-PB.pdf.jpg
bitstream.checksum.fl_str_mv 9a330d30ed02809ac62183a7de400cc9
2a7015998aa636914bdb513b447ec879
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1814089214088708096

Publicaciones similares