Auslander-Reiten sequences for homotopists and arithmeticians

Details Auslander-Reiten sequences for homotopists and arithmeticians Auslander-Reiten sequences for homotopists and arithmeticians

2008-11-04

arxiv.org/abs/0811.0561v1

Annales des sciences mathematiques du Quebec. 32 (2008) no 2, 139 - 157

Mathematics

Representation Theory

16 pages, to appear in "Annales des sciences math\'ematiques du Qu\'ebec"

Scientific paper

We introduce Auslander-Reiten sequences for group algebras and give several
recent applications. The first part of the paper is devoted to some fundamental
problems in Tate cohomology which are motivated by homotopy theory. In the
second part of the paper we interpret Auslander-Reiten sequences in the context
of Galois theory and connect them to some important arithmetic objects.

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