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Derived equivalence classification of nonstandard selfinjective algebras of domestic type
Rafal Bocian, Thorsten Holm, Andrzej Skowronski
We give a complete derived equivalence classification of all nonstandard representation-infinite domestic selfinjective algebras over an algebraically closed field. As a consequenc…
Derived equivalence classification of one-parametric selfinjective algebras
Rafal Bocian, Thorsten Holm, Andrzej Skowronski
We give a complete description of the derived equivalence normal forms of all one-parametric selfinjective algebras over algebraically closed fields which admit simply connected Ga…
On the representation dimension of rank 2 group algebras and related algebras
Thorsten Holm, Wei Hu
The representation dimension was defined by M. Auslander in 1970 and is, due to spectacular recent progress, one of the most interesting homological invariants in representation th…
q-Cartan matrices and combinatorial invariants of derived categories for skewed-gentle algebras
Christine Bessenrodt, Thorsten Holm
Cartan matrices are of fundamental importance in representation theory. For algebras defined by quivers (i.e. directed graphs) with relations the computation of the entries of the…