Verma type modules for toroidal Lie algebras

Authors
Futorny, V Kashuba, I
Citation
V. Futorny et I. Kashuba, Verma type modules for toroidal Lie algebras, COMM ALGEB, 27(8), 1999, pp. 3979-3991
Citations number
7
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
27
Issue
8
Year of publication
1999
Pages
3979 - 3991
Database
ISI
SICI code
0092-7872(1999)27:8<3979:VTMFTL>2.0.ZU;2-E
Abstract
We study the structure of imaginary Verma modules induced from the "natural " Borel subalgebra of a toroidal Lie algebra. In particular, we establish a criterion of irreducibility for imaginary Verma modules and describe their submodules and irreducible quotients. We also describe the structure of Ve rma type modules in the case of sl(2)-toroidal Lie algebra over two variabl es.