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arXiv · 2610.14872

Differential operator approach to the $\imath$Howe duality

Qianqi Wang
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Abstract

The iHowe duality for iquantum groups of type AIII/IV was established in \cite{LX22} via two approaches, based on partial flag varieties and quantum coordinate coalgebras respectively. In this paper, we provide a new construction of this iHowe duality via quantum differential operators. Moreover, by deriving explicit action formulas, we prove that our construction coincides with the two constructions given in \cite{LX22}.

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Qianqi Wang. 2026-10-10. Differential operator approach to the $\imath$Howe duality. https://arxiv.org/abs/2610.14872

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