The stable Calabi-Yau dimension of tame symmetric algebras

Karin Erdmann; Andrzej Skowronski

doi:10.2969/jmsj/1145287095

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

The stable Calabi-Yau dimension of tame symmetric algebras

Karin Erdmann, Andrzej Skowronski

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Keywords: selfinjective algebra, stable module category, periodic module, Calabi-Yau dimension, Auslander-Reiten quiver

JOURNAL FREE ACCESS

2006 Volume 58 Issue 1 Pages 97-128

DOI https://doi.org/10.2969/jmsj/1145287095

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Abstract

We determine the Calabi-Yau dimension of the stable module categories of all symmetric algebras of tame representation type over an algebraically closed field, and derive some consequences.

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