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

Published 24 Jun 2025 in math.RT | (2506.19625v1)

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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