On modules for double affine Lie algebras
Representation Theory
2020-08-05 v1 Quantum Algebra
Abstract
Imaginary Verma modules, parabolic imaginary Verma modules, and Verma modules at level zero for double affine Lie algebras are constructed using three different triangular decompositions. Their relations are investigated, and several results are generalized from the affine Lie algebras. In particular, imaginary highest weight modules, integrable modules, and irreducibility criterion are also studied.
Cite
@article{arxiv.1501.07187,
title = {On modules for double affine Lie algebras},
author = {Naihuan Jing and Chunhua Wang},
journal= {arXiv preprint arXiv:1501.07187},
year = {2020}
}
Comments
15 pages, 15 refs