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A Drinfeld type presentation of affine imathquantum groups II: split BCFG type

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arxiv 2102.03203 v2 pith:3P6V7FSL submitted 2021-02-05 math.RT math.QA

A Drinfeld type presentation of affine imathquantum groups II: split BCFG type

classification math.RT math.QA
keywords typeimathaffinepresentationquantumsplitdrinfeldmathbf
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Recently, Lu and Wang formulated a Drinfeld type presentation for $\imath$quantum group $\widetilde{{\mathbf U}}^\imath$ arising from quantum symmetric pairs of split affine ADE type. In this paper, we generalize their results by establishing a current presentation for $\widetilde{{\mathbf U}}^\imath$ of arbitrary split affine type.

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  1. Twisted Yangians of types BI, CI, DI and Drinfeld type current relations

    math.QA 2026-07 conditional novelty 6.0

    For split types BI, CI, DI, the R-matrix and Drinfeld current presentations of twisted Yangians are isomorphic, confirming the Lu–Wang–Zhang conjecture, with closed-form Serre relations, PBW bases, and a tensor-factor...