论文标题

乘法顶点代数和量子循环代数

Multiplicative vertex algebras and quantum loop algebras

论文作者

Liu, Henry

论文摘要

我们定义了顶点结膜的乘法版本,并表明霍尔代数(KHAS)的各种模棱两可的k理论构建也承认了兼容的乘数顶点煤层结构。特别是,对于varagnolo-vasserot的前注射kha是正确的,这是(猜想)与某些量子环代数的同构。

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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