Vertex representation of quantum N-toroidal algebra for type F4. Issue 9 (1st September 2020)

• Record Type: Journal Article
• Authors: Ying, Cenlei; Xia, Limeng; Zhang, Honglian
• Is Part Of: Communications in algebra. Volume 48:Issue 9(2020)
• Page Start: 3780
• Page End: 3799
• Publication Date: 2020-09-01
• Subjects: Fock space -- level-one -- quantum N-toroidal algebra -- vertex operator -- vertex representation; 17B37 -- 17B67; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2020.1746324
• Languages: English
• ISSNs: 0092-7872

Abstract

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 F 4 . In particular, we can also obtain a level-one vertex representation of quantum toroidal algebra for type F 4 as our special cases.