Generalized Verma modules over $\fr{sl}_{n+2}$ induced from $\ca{U}(\fr{h}_n)$-free $\fr{sl}_{n+1}$-modules
Representation Theory
2019-08-08 v1 Quantum Algebra
Abstract
A class of generalized Verma modules over is constructed from -modules which are -free modules of rank . The necessary and sufficient conditions for these -modules to be simple are determined. This leads to a class of new simple -modules.
Keywords
Cite
@article{arxiv.1510.04129,
title = {Generalized Verma modules over $\fr{sl}_{n+2}$ induced from $\ca{U}(\fr{h}_n)$-free $\fr{sl}_{n+1}$-modules},
author = {Yan-an Cai and Genqiang Liu and Jonathan Nilsson and Kaiming Zhao},
journal= {arXiv preprint arXiv:1510.04129},
year = {2019}
}
Comments
20 pages