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arxiv: math/0603356 · v2 · submitted 2006-03-15 · 🧮 math.RT

Derived equivalences and finite dimensional algebras

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keywords finitealgebrasderiveddimensionalequivalencestheoryalgebracategories
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We discuss the homological algebra of representation theory of finite dimensional algebras and finite groups. We present various methods for the construction and the study of equivalences of derived categories: local group theory, geometry and categorifications.

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