Trivalent Categories for Adjoint Representations of Exceptional Lie Algebras
Representation Theory
2022-04-29 v1 Category Theory
Abstract
We consider the universal pivotal, symmetric, monoidal, -linear category, generated by a Schurian object with a skew-symmetric multiplication, and study some of its quotients. We show that these quotients give rise to either vector product algebras or representation categories of exceptional Lie algebras.
Keywords
Cite
@article{arxiv.2204.13642,
title = {Trivalent Categories for Adjoint Representations of Exceptional Lie Algebras},
author = {Youssef Mousaaid},
journal= {arXiv preprint arXiv:2204.13642},
year = {2022}
}