A quantum symmetric pair consists of a quantum group U $\mathbf {U} $ and its coideal
subalgebra U ς ı ${\mathbf {U}}^{\imath} _ {\bm {\varsigma}} $ with parameters ς $\bm …

We establish automorphisms with closed formulas on quasi-split ı quantum groups of
symmetric Kac-Moody type associated to restricted Weyl groups. The proofs are carried out …

We initiate a general approach to the relative braid group symmetries on (universal) ı 횤
quantum groups, arising from quantum symmetric pairs of arbitrary finite types, and their …

We establish a Drinfeld type new presentation for the ı quantum groups arising from
quantum symmetric pairs of split affine ADE type, which includes the q-Onsager algebra as …

This paper studies quantum symmetric pairs (U~, U~ ı) associated with quasi-split Satake
diagrams of affine type A 2 r-1, D r, E 6 with a nontrivial diagram involution fixing the affine …

The $\imath $ Hall algebra of the projective line is by definition the twisted semi-derived
Ringel-Hall algebra of the category of $1 $-periodic complexes of coherent sheaves on the …

We extend the ı Hall algebra realization of ı quantum groups arising from quantum
symmetric pairs, which establishes an injective homomorphism from the universal ı quantum …

This is a survey of some recent progress on quantum symmetric pairs and applications. The
topics include quasi-K-matrices,{Schur duality, canonical bases, super Kazhdan–Lusztig …

Let (U, U ı) be a quantum symmetric pair of Kac–Moody type. The ı quantum groups U ı and
the universal ı quantum groups U~ ı can be viewed as a generalization of quantum groups …

This is the first of our papers on quasi-split affine quantum symmetric pairs $\big (\widetilde
{\mathbf U}(\widehat {\mathfrak g}),\widetilde {{\mathbf U}}^\imath\big) $, focusing on the real …