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arxiv: math/0310352 · v1 · submitted 2003-10-22 · 🧮 math.RT

Tame-wild dichotomy for derived categories

Viktor I. Bekkert , Yuriy A. Drozd This is my paper
classification 🧮 math.RT
keywords derivedalgebratamewildalgebraicallyalgorithmboxescategories
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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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  1. Equivariant $H\underline{\mathbb{F}}_p$-modules are wild

    math.RT 2025-09 unverdicted novelty 6.0

    Cohomological Mackey algebras are derived wild whenever G surjects onto a p-group of order >2, implying wild classification of compact G-equivariant H k-modules at odd primes for such groups.