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arXiv · 2506.19625

Generalized Verma modules over sl(m+1) induced from simple highest weight modules

Yaohui Xue·Yan Wang
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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.

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Yaohui Xue, Yan Wang. 2025-06-24. Generalized Verma modules over sl(m+1) induced from simple highest weight modules. https://arxiv.org/abs/2506.19625

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