A Tannakian context for Galois theory

 

Autores
Dubuc, Eduardo Julio; Szyld, Martín
Tipo de recurso
artículo
Estado
Versión publicada
Año de publicación
2013
País
Argentina
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio
CONICET Digital (CONICET)
Descripción
Strong similarities have been long observed between the Galois (Categories Galoisiennes) and the Tannaka (Categories Tannakiennes) theories of representation of groups. In this paper we construct an explicit (neutral) Tannakian context for the Galois theory of atomic topoi, and prove the equivalence between its fundamental theorems. Since the theorem is known for the Galois context, this yields, in particular, a proof of the fundamental (recognition) theorem for a new Tannakian context. This example is different from the additive cases or their generalization, where the theorem is known to hold, and where the unit of the tensor product is always an object of finite presentation, which is not the case in our context
Idioma
inglés
OAI Identifier
oai:ri.conicet.gov.ar:11336/15090
Enlace del recurso
http://hdl.handle.net/11336/15090
Nivel de acceso
Acceso abierto
Materia
tannaka context
galois theory
respresentation theory
topos theory
Matemática Pura
Matemáticas
CIENCIAS NATURALES Y EXACTAS