Trabajo Fin de Grado
Tableaux, representaciones y la dualidad de Schur-Weyl
Autor/es | Ocampo Amaya, Aarón |
Director | Rosas Celis, Mercedes Helena |
Departamento | Universidad de Sevilla. Departamento de Álgebra |
Fecha de publicación | 2023 |
Fecha de depósito | 2024-03-08 |
Titulación | Universidad de Sevilla. Grado en Matemáticas |
Resumen | The main objective of this work is to study the relation between representations
of the symmetric group and those of the general linear group. This relation is known
as the Schur-Weyl duality.
We introduce the basic ... The main objective of this work is to study the relation between representations of the symmetric group and those of the general linear group. This relation is known as the Schur-Weyl duality. We introduce the basic concepts of representation theory in the first chapter. In the second, use tableaux to construct all the irreducible representations of the symmetric group, and provide explicit homomorfisms to decompose the regular representation. Finally, in the third chapter, we use these representations to obtain polynomial representations for the general linear group, establishing the Schur-Weyl duality. |
Cita | Ocampo Amaya, A. (2023). Tableaux, representaciones y la dualidad de Schur-Weyl. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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TFG GM OCAMPO AMAYA, AARON.pdf | 758.0Kb | [PDF] | Ver/ | |