Auslander-Reiten sequences and $t$-structures on the homotopy category of an abelian category

Details Auslander-Reiten sequences and $t$-structures on the homotopy category of an abelian category Auslander-Reiten sequences and $t$-structures on the homotopy category of an abelian category

2009-12-30

arxiv.org/abs/0912.4984v4

Mathematics

Representation Theory

This is a totally rewritten version of the article, adding material and fixing existing errors

Scientific paper

We use $t$-structures on the homotopy category $K^b(R-mod)$ for an artin
algebra $R$ and Watts' representability theorem to give an existence proof for
Auslander-Reiten sequences of $R$-modules.

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