Representation-tame locally hereditary algebras

Zbigniew Leszczyński. "Representation-tame locally hereditary algebras." Colloquium Mathematicae 99.2 (2004): 175-187. <http://eudml.org/doc/284803>.

@article{ZbigniewLeszczyński2004,
abstract = {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.},
author = {Zbigniew Leszczyński},
journal = {Colloquium Mathematicae},
keywords = {locally hereditary algebras; incidence algebras; canonical algebras; Tits quadratic forms; Galois coverings; tame representation type; generalized canonical algebras},
language = {eng},
number = {2},
pages = {175-187},
title = {Representation-tame locally hereditary algebras},
url = {http://eudml.org/doc/284803},
volume = {99},
year = {2004},
}

TY - JOUR
AU - Zbigniew Leszczyński
TI - Representation-tame locally hereditary algebras
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 2
SP - 175
EP - 187
AB - 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.
LA - eng
KW - locally hereditary algebras; incidence algebras; canonical algebras; Tits quadratic forms; Galois coverings; tame representation type; generalized canonical algebras
UR - http://eudml.org/doc/284803
ER -