We complete the derived equivalence classification of all weakly symmetric algebras of domestic type over an algebraically closed field, by solving the problem of distinguishing standard and nonstandard algebras up to stable equivalence, and hence derived equivalence. As a consequence, a complete stable equivalence classification of weakly symmetric algebras of domestic type is obtained.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm142-1-6,
author = {Rafa\l\ Bocian and Andrzej Skowro\'nski},
title = {Derived equivalence classification of weakly symmetric algebras of domestic type},
journal = {Colloquium Mathematicae},
volume = {144},
year = {2016},
pages = {115-133},
zbl = {06497302},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm142-1-6}
}
Rafał Bocian; Andrzej Skowroński. Derived equivalence classification of weakly symmetric algebras of domestic type. Colloquium Mathematicae, Tome 144 (2016) pp. 115-133. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm142-1-6/