TAME-WILD DICHOTOMY FOR DERIVED CATEGORIES
TAME-WILD DICHOTOMY FOR DERIVED CATEGORIES
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发表时间：
2003-10
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通讯作者：
Viktor I. Bekkert;Y. Drozd
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作者：
Viktor I. Bekkert;Y. Drozd
证明了代数闭域上的有限维代数是导自驯服的或导自野性的。证明是基于盒和减少算法的技术。特别地，它意味着导出的Wild代数的任何退化都是导出的Wild;相应地，导出的驯服代数的任何变形都是导出的驯服。
We prove that every finite dimensional algebra over an al- gebraically closed field is either derived tame or derived wild. The proof is based on the technique of 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.