Enveloping algebras via motivic Hall algebras
Representation Theory
2026-03-10 v1
Abstract
We give a geometric realization of the whole universal enveloping algebra of the Borcherds-Bozec algebra using quiver with loops via the motivic semi-derived Hall algebra approach. In particular, using acyclic quivers, we give a geometric realization of the whole universal enveloping algebra of a certain generalized Kac-Moody algebra using the motivic Bridgeland's Hall algebra given in [12].
Keywords
Cite
@article{arxiv.2603.06965,
title = {Enveloping algebras via motivic Hall algebras},
author = {Xinyi Feng and Fan Xu},
journal= {arXiv preprint arXiv:2603.06965},
year = {2026}
}