Multiplicative vertex algebras and quantum loop algebras
Abstract We define a multiplicative version of vertex coalgebras and show that various equivariant K‐theoretic Hall algebras (KHAs) admit compatible multiplicative vertex coalgebra structures. In particular, this is true of Varagnolo–Vasserot's preprojective KHA, which is (conjecturally) isomorphic to positive halves of certain quantum loop algebras.
Authors
- Henry Liu (ORCID: https://orcid.org/0000-0003-3711-5293)
Institutions
- Kavli Institute for the Physics and Mathematics of the Universe (JP)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-08-01
- DOI
- https://doi.org/10.1112/jlms.70270
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00