Raphael Bennett-Tennenhaus
Published 2016-08-30Version 1
We consider possibly infinite dimensional gentle algebras defined by taking the completion a locally-gentle algebra with respect to the arrow ideal. We show the unbounded homotopy category of finitely generated projective modules satisfies the Krull-Remak-Schmidt property, and that complexes here are direct sums of string and band complexes. The aim of this work is to investigate new situations one may adapt a classification technique, sometimes called the functorial filtration method. The name refers to the construction of certain functorially defined filtrations which are used in proving correctness.
Homotopy category of N-complexes of projective modules
Parabolic induction in the homotopy category of pro-$p$ Iwahori-Hecke modules
Auslander-Reiten sequences and $t$-structures on the homotopy category of an abelian category
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