Let Λ be a tubular algebra over an arbitrary base field. We study the Grothendieck group , endowed with the Euler form, and its automorphism group 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 of the derived category of Λ.
@article{bwmeta1.element.bwnjournal-article-cmv86i1p137bwm,
author = {Dirk Kussin},
title = {On the K-theory of tubular algebras},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {137-152},
zbl = {0977.16004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv86i1p137bwm}
}
Kussin, Dirk. On the K-theory of tubular algebras. Colloquium Mathematicae, Tome 84/85 (2000) pp. 137-152. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv86i1p137bwm/
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