Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584555 | Journal of Algebra | 2015 | 21 Pages |
Abstract
In this paper, we associate vertex algebras and their two different kinds of module categories with the unitary Lie algebra uËN(CÎË) for Nâ¥2 being a positive integer and ÎË={qn|nâZ}, where the nonzero complex number q is not a root of unity. It is proved that for any complex number â, the category of restricted uËN(CÎË)-modules of level â is canonically isomorphic to the category of quasi modules for certain vertex algebra. And we also prove that the category of restricted uËN(CÎË)-modules of level â is isomorphic to the category of Î-equivariant Ï-coordinated quasi modules for the same vertex algebra, where Î is an automorphism group of this vertex algebra.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hongyan Guo, Qing Wang,