Tame tensor products of algebras

Zbigniew Leszczyński; Andrzej Skowroński

Colloquium Mathematicae (2003)

  • Volume: 98, Issue: 1, page 125-145
  • ISSN: 0010-1354

Abstract

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With the help of Galois coverings, we describe the tame tensor products A 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 AG of finite groups G over finite-dimensional algebras A is completed.

How to cite

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Zbigniew Leszczyński, and Andrzej Skowroński. "Tame tensor products of algebras." Colloquium Mathematicae 98.1 (2003): 125-145. <http://eudml.org/doc/285004>.

@article{ZbigniewLeszczyński2003,
abstract = {With the help of Galois coverings, we describe the tame tensor products $A ⊗_\{K\} B$ 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 AG of finite groups G over finite-dimensional algebras A is completed.},
author = {Zbigniew Leszczyński, Andrzej Skowroński},
journal = {Colloquium Mathematicae},
keywords = {finite-dimensional algebras; tame representation type; Galois coverings; group algebras of finite groups},
language = {eng},
number = {1},
pages = {125-145},
title = {Tame tensor products of algebras},
url = {http://eudml.org/doc/285004},
volume = {98},
year = {2003},
}

TY - JOUR
AU - Zbigniew Leszczyński
AU - Andrzej Skowroński
TI - Tame tensor products of algebras
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 1
SP - 125
EP - 145
AB - With the help of Galois coverings, we describe the tame tensor products $A ⊗_{K} B$ 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 AG of finite groups G over finite-dimensional algebras A is completed.
LA - eng
KW - finite-dimensional algebras; tame representation type; Galois coverings; group algebras of finite groups
UR - http://eudml.org/doc/285004
ER -

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