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A Drinfeld-type presentation of affine \(\imath \)quantum groups II: split BCFG type

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Abstract

Let \(\widetilde{{{\mathbf {U}}}}^\imath \) be the universal \(\imath \)quantum group arising from quantum symmetric pairs. Recently, Lu and Wang formulated a Drinfeld-type presentation for \(\widetilde{{{\mathbf {U}}}}^\imath \) of split affine ADE type. In this paper, we generalize their results by establishing a Drinfeld-type presentation for \(\widetilde{{{\mathbf {U}}}}^\imath \) of arbitrary split affine type.

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Acknowledgements

The author would like to thank Ming Lu and his advisor Weiqiang Wang for sharing their work earlier and for many helpful discussions and advice. The author thanks anonymous referees for their valuable comments. This work is partially supported by the GRA fellowship of Wang’s NSF grant DMS-2001351.

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  1. Department of Mathematics, University of Virginia, Charlottesville, VA, 22904, USA

    Weinan Zhang

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  1. Weinan Zhang
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Zhang, W. A Drinfeld-type presentation of affine \(\imath \)quantum groups II: split BCFG type. Lett Math Phys 112, 89 (2022). https://doi.org/10.1007/s11005-022-01583-6

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