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dc.contributor.author
Zadunaisky Bustillos, Pablo Mauricio
dc.date.available
2020-10-27T16:28:56Z
dc.date.issued
2017-04
dc.identifier.citation
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
dc.identifier.issn
1726-3255
dc.identifier.uri
http://hdl.handle.net/11336/116935
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Lugansk Taras Shevchenko National University
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
GELFAND
dc.subject
TSETLIN
dc.subject
TABLEAUX
dc.subject
REALISATION
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A new way to construct 1-singular Gelfand-Tsetlin modules
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-09-01T19:10:51Z
dc.journal.volume
23
dc.journal.number
1
dc.journal.pagination
180-193
dc.journal.pais
Ucrania
dc.journal.ciudad
Lugansk
dc.description.fil
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
dc.journal.title
Algeba and Discrete Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://admjournal.luguniv.edu.ua/index.php/adm/article/view/444
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