Representation-tame locally hereditary algebras
Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 175-187
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $A$ be a finite-dimensional algebra over an algebraically closed field. The algebra $A$ is called
locally hereditary if any local left ideal of $A$ is projective. We give criteria, in terms of the Tits quadratic form, for a locally hereditary algebra to be of tame representation type. Moreover, the description of all representation-tame locally hereditary algebras is completed.
Keywords:
finite dimensional algebra algebraically closed field algebra called locally hereditary local ideal projective criteria terms tits quadratic form locally hereditary algebra tame representation type moreover description representation tame locally hereditary algebras completed
Affiliations des auteurs :
Zbigniew Leszczyński 1
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author = {Zbigniew Leszczy\'nski},
title = {Representation-tame locally hereditary algebras},
journal = {Colloquium Mathematicum},
pages = {175--187},
publisher = {mathdoc},
volume = {99},
number = {2},
year = {2004},
doi = {10.4064/cm99-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm99-2-3/}
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Zbigniew Leszczyński. Representation-tame locally hereditary algebras. Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 175-187. doi: 10.4064/cm99-2-3
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