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arXiv:2506.19625 [math.RT]AbstractReferencesReviewsResources

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

Yaohui Xue, Yan Wang

Published 2025-06-24Version 1

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.

Categories: math.RT
Subjects: 17B10, 17B20
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