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arXiv · 1204.1654

The Auslander-Reiten Components in the Rhombic Picture

Markus Schmidmeier·Helene R. Tyler
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Abstract

For an indecomposable module $M$ over a path algebra of a quiver of type $\widetilde{\mathbb A}_n$, the Gabriel-Roiter measure gives rise to four new numerical invariants; we call them the multiplicity, and the initial, periodic and final parts. We describe how these invariants for $M$ and for its dual specify the position of $M$ in the Auslander-Reiten quiver of the algebra.

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BibTeXRIS

Markus Schmidmeier, Helene R. Tyler. 2012-04-07. The Auslander-Reiten Components in the Rhombic Picture. https://doi.org/10.1080/00927872.2012.738341

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