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Compositio Mathematica· 2013Q1

-tilting theory

Takahide Adachi, Osamu Iyama, Idun Reiten

Short summary

$\tau$-tilting theory is introduced, generalizing classical tilting theory by focusing on mutation, and establishing bijections between torsion classes, $\tau$-tilting modules, and silting complexes for finite-dimensional algebras.

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Field: Geometry and Topology

Geometry and TopologyMathematics