This article is cited in 9 papers

RESEARCH ARTICLE

Derived tame and derived wild algebras

Yuriy A. Drozd

Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 01033 Kyiv, Ukraine

Abstract: We prove that every finite dimensional algebra over an algebraically closed field is either derived tame or derived wild. We also prove that any deformation of a derived wild algebra is derived wild.

Keywords: derived categories, derived tame and derived wild algebras, deformations of algebras, matrix problems, representations of boxes.

MSC: 16G60; 15A21, 16D90, 16E05

Received: 16.10.2003
Revised: 31.01.2004

Language: English

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