Quivers for SL(2) tilting modules

Daniel Tubbenhauer; Paul Wedrich

Quivers for SL(2) tilting modules

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arxiv 1907.11560 v2 pith:XN5V36L6 submitted 2019-07-26 math.RT math.QA

Daniel Tubbenhauer , Paul Wedrich This is my paper · ORCID

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keywords algebramodulestiltingalongcategorycharacteristicdefinedepending

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Using diagrammatic methods, we define a quiver algebra depending on a prime p and show that it is the algebra underlying the category of tilting modules for SL(2) in characteristic p. Along the way we obtain a presentation for morphisms between p-Jones-Wenzl projectors.

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Idempotents, traces, and dimensions in Hecke categories
math.RT 2025-07 conditional novelty 8.0 of 10

The paper provides closed formulas for recursible local intersection forms and recursive partial trace formulas that reduce categorical dimensions in asymptotic Hecke categories to diagrammatic computations.

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