Tame-wild dichotomy for derived categories
Representation Theory
2007-05-23 v1
Abstract
We prove that every finite dimensional algebra over an algebraically closed field is either derived tame or derived wild. The proof is based on the technique of matrix problems (boxes and reduction algorithm). It implies, in particular, that any degeneration of a derived wild algebra is derived wild; respectively, any deformation of a derived tame algebra is derived tame.
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Cite
@article{arxiv.math/0310352,
title = {Tame-wild dichotomy for derived categories},
author = {Viktor I. Bekkert and Yuriy A. Drozd},
journal= {arXiv preprint arXiv:math/0310352},
year = {2007}
}
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10 pages