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

TL;DR

This paper extends the Drinfeld type presentation of affine $ extit{i}$quantum groups to arbitrary split affine types, broadening the understanding of their algebraic structure.

Contribution

It generalizes previous results by establishing a current presentation for $ extit{i}$quantum groups of all split affine types, not just ADE types.

Findings

Established a current presentation for $ extit{i}$quantum groups of arbitrary split affine type.

Generalized previous ADE-specific results to all split affine types.

Enhanced the algebraic framework for quantum symmetric pairs.

Abstract

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.