Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8955897 | Journal of Geometry and Physics | 2018 | 16 Pages |
Abstract
In this paper, we study some non-weight modules over the loop-Virasoro algebra L and Block type Lie algebras B(q), where q is a nonzero complex number. Those modules when restricted to the Cartan subalgebra (modulo center) are free of rank one. We provide a sufficient and necessary condition for such modules to be simple, and determine their isomorphism classes. Moreover, we obtain the simplicity of modules over loop-Virasoro algebras by taking tensor products of some irreducible modules mentioned above with irreducible highest weight modules or Whittaker modules.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Qiu-Fan Chen, Yu-Feng Yao,