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 formulate a family of algebras, twisted Yangians (of simply-laced quasi-split type) in
Drinfeld type current generators and defining relations. These new algebras admit PBW type …

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 …

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 …

We develop a Gauss decomposition approach to establish a Drinfeld type current
presentation for Olshanski's twisted Yangians associated to the orthogonal Lie algebras …

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 …

Let U~ ı be the universal ı quantum group arising from quantum symmetric pairs. Recently,
Lu and Wang formulated a Drinfeld-type presentation for U~ ı of split affine ADE type. In this …

The $\imath $ Hall algebra of a weighted projective line is defined to be the semi-derived
Ringel-Hall algebra of the category of $1 $-periodic complexes of coherent sheaves on the …

We introduce a universal framework for boundary transfer matrices, inspired by Sklyanin's
two-row transfer matrix approach for quantum integrable systems with boundary conditions …