Vertex representation of quantum N-toroidal algebra for type F-4
Vertex representation of quantum N-toroidal algebra for type F-4
复制标题
F4 型量子 N 环形代数的顶点表示
DOI：
10.1080/00927872.2020.1746324
复制
发表时间：
2020
影响因子：
0.7
通讯作者：
Zhang Honglian
中科院分区：
文献类型：
--
作者：
Ying Cenlei;Xia Limeng;Zhang Honglian
最近高静夏章一致定义了量子N-toroidal代数的结构，它是经典量子toroidal代数的一种自然推广，就像2-toroidal李代数和N-toroidal李代数之间的关系一样。在此基础上，我们构造了F4型量子N-toroidal代数的一级顶点表示。特别地，作为我们的特例，我们还可以得到F4型量子环面代数的一级顶点表示。
Abstract Recently Gao-Jing-Xia-Zhang defined the structures of quantum N-toroidal algebras uniformally, which are a kind of natural generalizations of the classical quantum toroidal algebras, just like the relation between 2-toroidal Lie algebras and N-toroidal Lie algebras. Based on this work, we construct a level-one vertex representation of quantum N-toroidal algebra for type F4. In particular, we can also obtain a level-one vertex representation of quantum toroidal algebra for type F4 as our special cases.