On a Lift of an Individual Stable Equivalence to a Standard Derived Equivalence for Representation-finite Selfinjective Algebras

Ju l 2 00 5 Derived Equivalence Classification of Nonstandard Selfinjective Algebras of Domestic Type

We give a complete derived equivalence classification of all nonstandard representation-infinite domestic selfinjective algebras over an algebraically closed field. As a consequence, a complete stable equivalence classification of these algebras is obtained.

The Derived Equivalence Classification of Representation-finite Selfinjective Standard Algebras

ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY

Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

Stable Calabi-yau Dimension for Finite Type Selfinjective Algebras

We show that the Calabi-Yau dimension of the stable module category of a selfinjective algebra of finite representation type is determined by the action of the Nakayama and suspension functors on objects. Our arguments are based on recent results of C. Amiot, and hence apply more generally to triangulated categories having only finitely many indecomposable objects. Throughout, k is an algebraic...

Derived equivalence classification of one-parametric selfinjective algebras

In continuation of our paper [7] we complete the description of the derived equivalence normal forms of all one-parametric selfinjective algebras over algebraically closed fields which admit simply connected Galois coverings. As a consequence, a description of the stable equivalence normal forms of these algebras is obtained. 2000 MSC: Primary: 16G10, 18E30; Secondary: 16D50, 16G60, 16G70.