A new way to construct 1-singular Gelfand-Tsetlin modules

Autores
Zadunaisky Bustillos, Pablo Mauricio
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a simplified way to construct the Gelfand-Tsetlin modules over gl(n,C) related to a 1-singular GT-tableau defined by Futorny, Grantcharov and Ramirez. We begin by reframing the classical construction of generic Gelfand-Tsetlin modules found by Drozd, Futorny and Ovsienki, showing that they form a flat family over generic points of C^{n choose 2}. We then show that this family can be extended to a flat family over a variety including generic points and 1-singular points for a fixed singular pair of entries. The 1-singular modules are precisely the fibers over these points.
Fil: Zadunaisky Bustillos, Pablo Mauricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
GELFAND
TSETLIN
TABLEAUX
REALISATION
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:11336/116935
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A new way to construct 1-singular Gelfand-Tsetlin modulesZadunaisky Bustillos, Pablo MauricioGELFANDTSETLINTABLEAUXREALISATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We present a simplified way to construct the Gelfand-Tsetlin modules over gl(n,C) related to a 1-singular GT-tableau defined by Futorny, Grantcharov and Ramirez. We begin by reframing the classical construction of generic Gelfand-Tsetlin modules found by Drozd, Futorny and Ovsienki, showing that they form a flat family over generic points of C^{n choose 2}. We then show that this family can be extended to a flat family over a variety including generic points and 1-singular points for a fixed singular pair of entries. The 1-singular modules are precisely the fibers over these points.Fil: Zadunaisky Bustillos, Pablo Mauricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaLugansk Taras Shevchenko National University2017-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfhttp://hdl.handle.net/11336/116935Zadunaisky Bustillos, Pablo Mauricio; A new way to construct 1-singular Gelfand-Tsetlin modules; Lugansk Taras Shevchenko National University; Algeba and Discrete Mathematics; 23; 1; 4-2017; 180-1931726-3255CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://admjournal.luguniv.edu.ua/index.php/adm/article/view/444info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:29:39Zoai:ri.conicet.gov.ar:11336/116935instacron: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:34982025-10-15 15:29:39.755CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A new way to construct 1-singular Gelfand-Tsetlin modules
title A new way to construct 1-singular Gelfand-Tsetlin modules
spellingShingle A new way to construct 1-singular Gelfand-Tsetlin modules
Zadunaisky Bustillos, Pablo Mauricio
GELFAND
TSETLIN
TABLEAUX
REALISATION
title_short A new way to construct 1-singular Gelfand-Tsetlin modules
title_full A new way to construct 1-singular Gelfand-Tsetlin modules
title_fullStr A new way to construct 1-singular Gelfand-Tsetlin modules
title_full_unstemmed A new way to construct 1-singular Gelfand-Tsetlin modules
title_sort A new way to construct 1-singular Gelfand-Tsetlin modules
dc.creator.none.fl_str_mv Zadunaisky Bustillos, Pablo Mauricio
author Zadunaisky Bustillos, Pablo Mauricio
author_facet Zadunaisky Bustillos, Pablo Mauricio
author_role author
dc.subject.none.fl_str_mv GELFAND
TSETLIN
TABLEAUX
REALISATION
topic GELFAND
TSETLIN
TABLEAUX
REALISATION
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 present a simplified way to construct the Gelfand-Tsetlin modules over gl(n,C) related to a 1-singular GT-tableau defined by Futorny, Grantcharov and Ramirez. We begin by reframing the classical construction of generic Gelfand-Tsetlin modules found by Drozd, Futorny and Ovsienki, showing that they form a flat family over generic points of C^{n choose 2}. We then show that this family can be extended to a flat family over a variety including generic points and 1-singular points for a fixed singular pair of entries. The 1-singular modules are precisely the fibers over these points.
Fil: Zadunaisky Bustillos, Pablo Mauricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
description We present a simplified way to construct the Gelfand-Tsetlin modules over gl(n,C) related to a 1-singular GT-tableau defined by Futorny, Grantcharov and Ramirez. We begin by reframing the classical construction of generic Gelfand-Tsetlin modules found by Drozd, Futorny and Ovsienki, showing that they form a flat family over generic points of C^{n choose 2}. We then show that this family can be extended to a flat family over a variety including generic points and 1-singular points for a fixed singular pair of entries. The 1-singular modules are precisely the fibers over these points.
publishDate 2017
dc.date.none.fl_str_mv 2017-04
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/11336/116935
Zadunaisky Bustillos, Pablo Mauricio; A new way to construct 1-singular Gelfand-Tsetlin modules; Lugansk Taras Shevchenko National University; Algeba and Discrete Mathematics; 23; 1; 4-2017; 180-193
1726-3255
CONICET Digital
CONICET
url http://hdl.handle.net/11336/116935
identifier_str_mv Zadunaisky Bustillos, Pablo Mauricio; A new way to construct 1-singular Gelfand-Tsetlin modules; Lugansk Taras Shevchenko National University; Algeba and Discrete Mathematics; 23; 1; 4-2017; 180-193
1726-3255
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://admjournal.luguniv.edu.ua/index.php/adm/article/view/444
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/zip
application/pdf
dc.publisher.none.fl_str_mv Lugansk Taras Shevchenko National University
publisher.none.fl_str_mv Lugansk Taras Shevchenko National University
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_ 1846083435719819264
score 12.891075

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