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.

v2 25 pages, minor corrections

References in corpus (4)

• $ı$Hall algebra of the projective line and $q$-Onsager algebra
• A Drinfeld type presentation of affine $ı$quantum groups I: split ADE type
• A conversation around the analysis of the SiP effort estimation dataset
• Braid group symmetries on quasi-split $ı$quantum groups via $ı$Hall algebras

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