Multiplicative vertex algebras and quantum loop algebras
Algebraic Geometry
2025-06-30 v2 K-Theory and Homology
Quantum Algebra
Abstract
We define a multiplicative version of vertex coalgebras and show that various equivariant K-theoretic constructions of Hall algebras (KHAs) also admit a compatible multiplicative vertex coalgebra structure. In particular, this is true of the preprojective KHA of Varagnolo--Vasserot, which is (conjecturally) isomorphic to certain quantum loop algebras.
Keywords
Cite
@article{arxiv.2210.04773,
title = {Multiplicative vertex algebras and quantum loop algebras},
author = {Henry Liu},
journal= {arXiv preprint arXiv:2210.04773},
year = {2025}
}
Comments
57 pages. Revised according to referees' suggestions