Quivers for SL(2) tilting modules
Representation Theory
2021-06-01 v2 Quantum Algebra
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.
Cite
@article{arxiv.1907.11560,
title = {Quivers for SL(2) tilting modules},
author = {Daniel Tubbenhauer and Paul Wedrich},
journal= {arXiv preprint arXiv:1907.11560},
year = {2021}
}
Comments
36 pages, many figures, to appear in Represent. Theory, comments welcome