Geodesic
Derived equivalence classification of weakly symmetric algebras of domestic type
Rafał Bocian 1   ; Andrzej Skowroński 1
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 142 (2016) no. 1, pp. 115-133 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm142-1-6
Keywords: complete derived equivalence classification weakly symmetric algebras domestic type algebraically closed field solving problem distinguishing standard nonstandard algebras stable equivalence hence derived equivalence consequence complete stable equivalence classification weakly symmetric algebras domestic type obtained

Rafał Bocian   1   ; Andrzej Skowroński  1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Rafał  Bocian ; Andrzej Skowroński. Derived equivalence classification of weakly symmetric algebras of domestic type. Colloquium Mathematicum, Tome 142 (2016) no. 1, pp. 115-133. doi: 10.4064/cm142-1-6

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