Generalized Verma modules over sl(m+1) induced from simple highest weight modules
Representation Theory
2025-06-25 v1
Abstract
A class of generalized Verma modules over sl(m+1) are constructed from simple highest weight gl(m)-modules. Furthermore, the simplicity criterion for these sl(m+1)-modules are determined and an equivalence between generalized Verma modules and tensor modules are established.
Cite
@article{arxiv.2506.19625,
title = {Generalized Verma modules over sl(m+1) induced from simple highest weight modules},
author = {Yaohui Xue and Yan Wang},
journal= {arXiv preprint arXiv:2506.19625},
year = {2025}
}