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Exceptional Modules for Tubular Canonical Algebras

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Abstract

Let Λ be a tubular canonical algebra of quiver type over a field. We show that each exceptional Λ-module can be exhibited by matrices involving as coefficients 0, 1 and –1 if Λ is of type (3,3,3), (2,4,4) or (2,3,6) and by matrices involving as coefficients 0, 1, –1, λ, –λ and λ–1 if Λ is of type (2,2,2,2) and defined by a parameter λ.

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  1. Instytut Matematyki, Uniwersytet Szczeciński, 70451, Szczecin, Poland

    Hagen Meltzer

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  1. Hagen Meltzer
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Correspondence to Hagen Meltzer.

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Meltzer, H. Exceptional Modules for Tubular Canonical Algebras. Algebr Represent Theor 10, 481–496 (2007). https://doi.org/10.1007/s10468-007-9067-0

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  • DOI: https://doi.org/10.1007/s10468-007-9067-0

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