Actions of sl_2 on algebras appearing in categorification
Representation Theory
2023-11-30 v2
Abstract
We prove that many of the recently-constructed algebras and categories which appear in categorification can be equipped with an action of by derivations. The representations which appear are filtered by tensor products of coverma modules. In a future paper, we will address the implications of the structure for categorification.
Cite
@article{arxiv.2103.00048,
title = {Actions of sl_2 on algebras appearing in categorification},
author = {Ben Elias and You Qi},
journal= {arXiv preprint arXiv:2103.00048},
year = {2023}
}
Comments
50 pages, many figures. V2 contains updates from referee reports. Comments welcome. To appear in Quantum Topology