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Quivers for SL(2) tilting modules
Algebra & Discrete MathematicsSpeaker: | Paul Wedrich, Max Planck Institute for Mathematics |
Related Webpage: | http://paul.wedrich.at/ |
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