Quivers for SL(2) tilting modules

Abstract

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.

arXiv comment36 pages, many figures, to appear in Represent. Theory, comments welcome

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Cited by in corpus (6)

• SL2 tilting modules in the mixed case
• Growth rates of the number of indecomposable summands in tensor powers
• Monoidal categories, representation gap and cryptography
• Finite symmetric algebras in tensor categories and Verlinde categories of algebraic groups
• Fractal behavior of tensor powers of the two dimensional space in prime characteristic
• On a symplectic quantum Howe duality