On the K-theory of tubular algebras
Colloquium Mathematicum, Tome 86 (2000) no. 1, pp. 137-152
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_cm_86_1_137_152,
author = {Dirk Kussin},
title = {On the {K-theory} of tubular algebras},
journal = {Colloquium Mathematicum},
pages = {137--152},
year = {2000},
volume = {86},
number = {1},
doi = {10.4064/cm-86-1-137-152},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-86-1-137-152/}
}
Dirk Kussin. On the K-theory of tubular algebras. Colloquium Mathematicum, Tome 86 (2000) no. 1, pp. 137-152. doi: 10.4064/cm-86-1-137-152
Cité par Sources :