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arXiv · 2210.04773

Multiplicative vertex algebras and quantum loop algebras

Henry Liu
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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.

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Henry Liu. 2022-10-10. Multiplicative vertex algebras and quantum loop algebras. https://arxiv.org/abs/2210.04773

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