INVESTIGADORES
DUBUC Eduardo Julio
artículos
Título:
A Tannakian context for Galois Theory
Autor/es:
EDUARDO J. DUBUC; MARTIN SZYLD
Revista:
ADVANCES IN MATHEMATICS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Cambridge; Año: 2013 p. 528 - 549
ISSN:
0001-8708
Resumen:
Strong similarities have been long observed between the Galois and Tannaka theories of the
representation of groups. In this paper we construct an explicit (neutral) Tannakian context for the Galois
theory of atomic topoi and prove equivalence for the fundamental theorem. Since the theorem is known
for the Galois context, this yields a proof of the fundamental (recognition) theorem for a new Tannakian
context. This example is different from the additive cases or their generalization for which the theorem is
known to hold and for which the unit of the tensor product is always an object of finite presentation, which
is not the case in our context.