Extensions in affine spaces of bilinear applications, differentiable actions, and tensors

Descripción del Articulo

In this article, several generalizations in affine spaces are studied. First, the notion of affine mappings to bilinear mappings defined in affine spaces is explored, referred to as affine bilinear mappings. Subsequently, differentiable actions of a Lie group on affine spaces are defined, and their...

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Detalles Bibliográficos
Autor: Ostos Cordero, Benito Leonardo
Formato: artículo
Fecha de Publicación:2024
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:español
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/5860
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5860
Nivel de acceso:acceso abierto
Materia:Affine bilinear
affine action
affine tensor
Bilineal afín
acción afín
tensor afín
Descripción
Sumario:In this article, several generalizations in affine spaces are studied. First, the notion of affine mappings to bilinear mappings defined in affine spaces is explored, referred to as affine bilinear mappings. Subsequently, differentiable actions of a Lie group on affine spaces are defined, and their isotropy group, orbit space, and set of fixed points are examined. Finally, the concept of tensor product between vector spaces is extended to the tensor product between affine spaces.
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