Módulos de Gelfand-Tsetlin singulares de gl(n)

Silva, Carlos Alexandre Gomes da

doi:10.11606/T.45.2019.tde-19082019-132006

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Doctoral Thesis

DOI

https://doi.org/10.11606/T.45.2019.tde-19082019-132006

Document

Doctoral Thesis

Author

Silva, Carlos Alexandre Gomes da (Catálogo USP)

Full name

Carlos Alexandre Gomes da Silva

E-mail

Institute/School/College

Instituto de Matemática e Estatística

Knowledge Area

Mathematics

Date of Defense

2017-12-08

Published

São Paulo, 2017

Supervisor

Futorny, Vyacheslav (Catálogo USP)

Committee

Futorny, Vyacheslav (President)
Bekkert, Viktor
Ferraz, Raul Antonio
Moura, Adriano Adrega de
Ramirez, Luis Enrique

Title in Portuguese

Módulos de Gelfand-Tsetlin singulares de gl(n)

Keywords in Portuguese

Bases de Gelfand-Tsetlin
Módulos de Gelfand-Tsetlin
Módulos de pesos

Abstract in Portuguese

Neste trabalho estudamos os módulos de Gelfand-Tsetlin 1-singulares para gl(n). Em particular, descrevemos bases explícitas para certos subquocientes dos mesmos e estabelecemos um critério que garante a sua irredutibilidade.

Title in English

Singular Gelfand-Tsetlin modules of gl(n)

Keywords in English

Gelfand-Tselin modules
Gelfand-Tsetlin basis
Weight modules

Abstract in English

In this work we study the Gelfand-Tsetlin 1-singular modules for gl(n). In particular, we describe explicit bases for certain subquotients of the same and establish a criterion that guarantees its irreducibility.

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Publishing Date

2019-08-21

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