97-02
Derived Equivalence Classification of Algebras of Dihedral, Semidihedral and Quaternion Type
Preprint series: 97-02, Preprints
The paper is published: Journal of Algebra 211, 159-205 (1999)
- MSC:
- 18E30 Derived categories, triangulated categories
- 16G20 Representations of quivers and partially ordered sets
- 16G60 Representation type (finite, tame, wild, etc.)
Abstract: Algebras of dihedral, semidihedral and quaternion type were in-troduced by K. Erdmann as a generalization of blocks of finite groupsof tame representation type. In a series of papers Erdmann gave adescription of the Morita equivalence classes of these algebras. Theaim of the present article is to present a classification of algebras ofdihedral, semidihedral and quaternion type up to derived equivalence.As an application we can show that all basic algebras in Erdmann\'slist are actually of tame representation type.
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