Algunas caracterizaciones y propiedades de pares de matrices conmutantes
Cargando...
Archivos
Autores
Director
Tipo de contenido
Document language:
Español
Fecha
Título de la revista
ISSN de la revista
Título del volumen
Documentos PDF
Resumen
En este trabajo, se realiza un estudio de la dimensión del álgebra generada por dos matrices conmutantes mediante dos métodos diferentes; en el primero se usan herramientas del álgebra lineal y en el segundo se usan razonamientos de la geometría algebraica. Además, se realiza un estudio de la irreducibilidad de la variedad de m-uplas de matrices conmutantes de tamaño n x n para valores de m y n particulares. / Abstract. In this work, it was made a study of the dimension of the algebra generated by two commuting matrices by two different methods; the first one uses only tools of linear algebra and the other one bases its reasoning on elements of algebraic geometry. We also performed a study of the irreducibility of the variety of m-tuples of commuting n x n matrices for some values of m and n (Texto tomado de la fuente).
Abstract
In this work, it was made a study of the dimension of the algebra generated by two
commuting matrices by two different methods; the first one uses only tools of linear
algebra and the other one bases its reasoning on elements of algebraic geometry. We
also performed a study of the irreducibility of the variety of m-tuples of commuting
n × n matrices for some values of m and n.