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

Erik Backelin; Omar Jaramillo

paper

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

arXiv:0912.4984

Abstract

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

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

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

Abstract

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