Back to Search
Start Over
ϕ-imaginary Verma modules and their generalizations for the toroidal Lie algebras.
- Source :
-
Journal of Mathematical Physics . 2015, Vol. 56 Issue 4, p1-14. 14p. - Publication Year :
- 2015
-
Abstract
- In this paper, we first construct a class of weight modules, called ϕ-imaginary Verma modules, for the toroidal Lie algebras. Then a criterion for the irreducibility of the ϕ-imaginary Verma modules is obtained and the irreducible quotients for the reducible ones are studied. Furthermore, we construct a more general class of Zn-graded modules for the toroidal Lie algebras and we discuss their irreducibility. This class of modules includes the ϕ-imaginary Verma modules as special examples [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 56
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 102448944
- Full Text :
- https://doi.org/10.1063/1.4917549