Derived equivalence classification of weakly symmetric algebras of domestic type
Volume 142 / 2016
Colloquium Mathematicum 142 (2016), 115-133
MSC: Primary 16D50, 16G60, 18E30; Secondary 16E30, 16G20.
DOI: 10.4064/cm142-1-6
Abstract
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.
