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The stable Calabi-Yau dimension of tame symmetric algebras

Journal

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
Volume 58, Issue 1, Pages 97-128

Publisher

MATH SOC JAPAN
DOI: 10.2969/jmsj/1145287095

Keywords

selfinjective algebra; stable module category; periodic module; Calabi-Yau dimension; Auslander-Reiten quiver

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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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