The paper develops a formalism for reduction and inverse-reduction functors and computes the action of reduction on standard modules of V^k(sl_2), noting unbounded spectral sequences.
Representation theory of the principal equivariant affineW-algebra and Langlands duality.arXiv:2510.06990 [math.RT]
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Reduction and inverse-reduction functors I: standard $\mathsf{V^k}(\mathfrak{sl}_2)$-modules
The paper develops a formalism for reduction and inverse-reduction functors and computes the action of reduction on standard modules of V^k(sl_2), noting unbounded spectral sequences.