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q-Virasoro algebra and vertex algebras.
- Source :
-
Journal of Pure & Applied Algebra . Apr2015, Vol. 219 Issue 4, p1258-1277. 20p. - Publication Year :
- 2015
-
Abstract
- In this paper, we study a certain deformation D of the Virasoro algebra that was introduced and called q -Virasoro algebra by Belov and Chaltikian, in the context of vertex algebras. Among the main results, we prove that for any complex number ℓ , the category of restricted D -modules of level ℓ is canonically isomorphic to the category of quasi modules for a certain vertex algebra of affine type. We also prove that the category of restricted D -modules of level ℓ is canonically isomorphic to the category of Z -equivariant ϕ -coordinated quasi modules for the same vertex algebra. In the process, we introduce and employ a certain infinite dimensional Lie algebra which is defined in terms of generators and relations and then identified explicitly with a subalgebra of gl ∞ . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 219
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 99791100
- Full Text :
- https://doi.org/10.1016/j.jpaa.2014.06.004