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Differential operator approach to the imathHowe duality
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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BibTeX
@misc{wang2026differential,
title = {{Differential operator approach to the $\imath$Howe duality}},
author = {Qianqi Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.14872},
eprint = {2610.14872},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.14872},
}
RIS
TY - UNPB
TI - Differential operator approach to the imathHowe duality
AU - Qianqi Wang
PY - 2026
DA - 2026/10/10
PB - arXiv
DO - 10.48550/arxiv.2610.14872
UR - https://arxiv.org/abs/2610.14872
AB - 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}.
ER -