Derived equivalence classification of weakly symmetric algebras of domestic type

• Autorzy: Rafał Bocian , Andrzej Skowroński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 18E30: Derived categories, triangulated categories
• 16G20: Representations of quivers and partially ordered sets
• 16D50: Injective modules, self-injective rings
• 16G60: Representation type (finite, tame, wild, etc.)
• 16E30: Homological functors on modules (Tor, Ext, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 142
• Numer: 1
• Strony: 115-133

Daty

wydano

2016

Twórcy

autor

Rafał Bocian

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Andrzej Skowroński

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm142-1-6