Tame tensor products of algebras
Volume 98 / 2003
Colloquium Mathematicum 98 (2003), 125-145
MSC: 16G20, 16G70, 16S10, 16S34.
DOI: 10.4064/cm98-1-10
Abstract
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.
