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 …

Recently the authors initiated an ı Hall algebra approach to (universal) ı quantum groups
arising from quantum symmetric pairs. In this paper we construct and study BGP type …

Let t be a positive integer and A be a hereditary abelian category satisfying some finiteness
conditions. We define the semi-derived Ringel-Hall algebra of A from the category C ℤ/t (A) …

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 …

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 …

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