paper

Quivers for SL(2) tilting modules

arXiv:1907.11560 · doi:10.1090/ert/569

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.

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