The Auslander–Reiten components of $\mathcal{K}^b({\rm proj}\, \Lambda)$ for a cluster-tilted algebra of type Ã-Reference-Cited by-同舟云学术

The Auslander–Reiten components of $\mathcal{K}^b({\rm proj}\, \Lambda)$ for a cluster-tilted algebra of type Ã

Published:2014-09-10 Issue:01 Volume:14 Page:1550005
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Arnesen Kristin Krogh¹,Grimeland Yvonne¹

Affiliation:

1. Institutt for Matematiske Fag, NTNU, 7491 Trondheim, Norway

Abstract

We classify the Auslander–Reiten components of [Formula: see text], where Λ is a cluster-tilted algebra of type Ã. The main tool is the combinatoric description of the indecomposable complexes in [Formula: see text] via homotopy strings and homotopy bands.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881550005X

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