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arXiv · 1510.04129

Generalized Verma modules over $\fr{sl}_{n+2}$ induced from $\ca{U}(\fr{h}_n)$-free $\fr{sl}_{n+1}$-modules

Yan-an Cai·Genqiang Liu·Jonathan Nilsson·Kaiming Zhao
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Abstract

A class of generalized Verma modules over $\fr{sl}_{n+2}$ is constructed from $\fr{sl}_{n+1}$-modules which are $\uhn$-free modules of rank $1$. The necessary and sufficient conditions for these $\fr{sl}_{n+2}$-modules to be simple are determined. This leads to a class of new simple $\fr{sl}_{n+2}$-modules.

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Yan-an Cai, Genqiang Liu, Jonathan Nilsson, Kaiming Zhao. 2015-10-14. Generalized Verma modules over $\fr{sl}_{n+2}$ induced from $\ca{U}(\fr{h}_n)$-free $\fr{sl}_{n+1}$-modules. https://arxiv.org/abs/1510.04129

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