Differential operator approach to the duality
Qianqi Wang
Abstract
The iHowe duality for iquantum groups of type AIII/IV was established in 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 LX22.
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