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Derived equivalence classification of weakly symmetric algebras of domestic type

Volume 142 / 2016

Rafał Bocian , Andrzej Skowroński 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.

Authors

  • Rafał Bocian Faculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail
  • Andrzej SkowrońskiFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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