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arxiv: 1805.05318 · v1 · pith:LBZ2YFNHnew · submitted 2018-05-14 · 🧮 math.RT · math.AC· math.AG· math.RA

Tilting Cohen-Macaulay representations

classification 🧮 math.RT math.ACmath.AGmath.RA
keywords tiltingcategoriesclustercohen-macaulayrepresentationsalgebrasderiveddevelopments
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This is a survey on recent developments in Cohen-Macaulay representations via tilting and cluster tilting theory. We explain triangle equivalences between the singularity categories of Gorenstein rings and the derived (or cluster) categories of finite dimensional algebras.

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