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Quivers for SL(2) tilting modules

Algebra & Discrete Mathematics

Speaker: Paul Wedrich, Max Planck Institute for Mathematics
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Location: 1147 MSB
Start time: Tue, Feb 18 2020, 2:10PM

I will explain how diagrammatic algebra can be used to give an explicit generators-and-relations presentation of all morphisms between indecomposable tilting modules for SL(2) over an algebraically closed field of positive characteristic. The result takes the form of a path algebra of an infinite, fractal-like quiver with relations, which can be considered as the (semi-infinite) Ringel dual of SL(2). Joint work with Daniel Tubbenhaue