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math.RT2025
Generalized Verma modules over sl(m+1) induced from simple highest weight modules
Yaohui Xue, Yan Wang
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 dete…
math.RT2021
Simple Harish-Chandra modules over the super affine-Virasoro algebras
Yan He, Dong Liu, Yan Wang
In this paper, we classify all simple Harish-Chandra modules over the super affine-Virasoro algebra $\widehat{\mathcal{L}}=\mathcal{W}\ltimes(\mathfrak{g}\otimes \mathcal{A})\oplus…