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 …

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 …

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 …

Recently, relative braid group symmetries on ı quantum groups of arbitrary finite types have
been constructed by Wang and the author. In this paper, generalizing that finite-type …

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 extend our ıHall algebra construction from acyclic to arbitrary ıquivers, where the ıquiver
algebras are infinite-dimensional 1-Gorenstein in general. Then we establish an injective …