The stable Calabi-Yau dimension of tame symmetric algebras

Karin ERDMANN; Andrzej SKOWROŃSKI

doi:10.2969/jmsj/1145287095

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Home > Journals > J. Math. Soc. Japan > Volume 58 > Issue 1 > Article

JANUARY, 2006 The stable Calabi-Yau dimension of tame symmetric algebras

Karin ERDMANN, Andrzej SKOWROŃSKI

J. Math. Soc. Japan 58(1): 97-128 (JANUARY, 2006). DOI: 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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Karin ERDMANN. Andrzej SKOWROŃSKI. "The stable Calabi-Yau dimension of tame symmetric algebras." J. Math. Soc. Japan 58 (1) 97 - 128, JANUARY, 2006. https://doi.org/10.2969/jmsj/1145287095

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Published: JANUARY, 2006

First available in Project Euclid: 17 April 2006

zbMATH: 1167.16013

MathSciNet: MR2204567

Digital Object Identifier: 10.2969/jmsj/1145287095

Subjects:

Primary: 16D50 , 16G60 , 16G70 , 18G10

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

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J. Math. Soc. Japan

Vol.58 • No. 1 • JANUARY, 2006

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Karin ERDMANN, Andrzej SKOWROŃSKI "The stable Calabi-Yau dimension of tame symmetric algebras," Journal of the Mathematical Society of Japan, J. Math. Soc. Japan 58(1), 97-128, (JANUARY, 2006)

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