With the help of Galois coverings, we
describe the tame tensor products $A \otimes_K B$ of basic,
connected, nonsimple, finite-dimensional algebras $A$ and $B$
over an algebraically closed field $K$. In particular,
the description of all tame group algebras $A G$ of finite
groups $G$ over finite-dimensional algebras $A$ is completed.
Keywords:
help galois coverings describe tame tensor products otimes basic connected nonsimple finite dimensional algebras algebraically closed field particular description tame group algebras finite groups finite dimensional algebras completed
Affiliations des auteurs :
Zbigniew Leszczyński
1
;
Andrzej Skowroński
1
1
Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
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author = {Zbigniew Leszczy\'nski and Andrzej Skowro\'nski},
title = {Tame tensor products of algebras},
journal = {Colloquium Mathematicum},
pages = {125--145},
year = {2003},
volume = {98},
number = {1},
doi = {10.4064/cm98-1-10},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm98-1-10/}
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AU - Andrzej Skowroński
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Zbigniew Leszczyński; Andrzej Skowroński. Tame tensor products of algebras. Colloquium Mathematicum, Tome 98 (2003) no. 1, pp. 125-145. doi: 10.4064/cm98-1-10
