Orthogonal webs and semisimplification
Representation Theory
2026-04-07 v2 Category Theory
Rings and Algebras
Abstract
We define a diagrammatic category that is equivalent to tilting representations for the orthogonal group. Our construction works in characteristic not equal to two. We also describe the semisimplification of this category.
Cite
@article{arxiv.2401.00704,
title = {Orthogonal webs and semisimplification},
author = {Elijah Bodish and Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:2401.00704},
year = {2026}
}
Comments
58 pages, many figures, to appear in Comb. Theory, comments welcome