A Drinfeld type presentation of affine $ı$quantum groups II: split BCFG type

Abstract

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

arXiv commentv2 25 pages, minor corrections

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Cited by in corpus (10)

• A Drinfeld type presentation of affine $ı$quantum groups I: split ADE type
• Relative braid group symmetries on $ı$quantum groups of Kac-Moody type
• Braid group action and quasi-split affine $ı$quantum groups I
• Affine $ı$quantum groups and twisted Yangians in Drinfeld presentations
• Tensor K-matrices for quantum symmetric pairs
• A Drinfeld type presentation of twisted Yangians
• Boundary transfer matrices arising from quantum symmetric pairs
• Compatibility of Drinfeld presentations for split affine Kac-Moody quantum symmetric pairs
• Drinfeld rational fractions for affine Kac-Moody quantum symmetric pairs
• Affine $ı$quantum groups and Steinberg varieties of type C