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On the K-theory of tubular algebras

Tom 86 / 2000

Dirk Kussin Colloquium Mathematicum 86 (2000), 137-152 DOI: 10.4064/cm-86-1-137-152

Streszczenie

Let Λ be a tubular algebra over an arbitrary base field. We study the Grothendieck group $K_{0}(Λ)$, endowed with the Euler form, and its automorphism group $Aut(K_{0}(Λ))$ on a purely K-theoretical level as in [7]. Our results serve as tools for classifying the separating tubular families of tubular algebras as in the example [5] and for determining the automorphism group $Aut(D^{b}Λ)$ of the derived category of Λ.

Autorzy

  • Dirk Kussin

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