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 …

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) …

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 …

Let m be a positive integer and D m (A) be the m-periodic derived category of a finitary
hereditary abelian category A. Applying the derived Hall numbers of the bounded derived …

We show that the morphism Ω from the ı quantum loop algebra Dr U~ ı (L g) of split type to
the ı Hall algebra of the weighted projective line is injective if g is of finite or affine type. As a …

For a quasi-split Satake diagram, we define a modified q-Weyl algebra, and show that there
is an algebra homomorphism between it and the corresponding ı quantum group. In other …

Finite Young wall model for representations of $$\imath $$ quantum group $${\textbf{U}}^{\jmath
}$$ | Journal of Algebraic Combinatorics Skip to main content SpringerLink Account Menu …

From a category $\mathcal {A} $ with an involution $\varrho $, we introduce $\varrho $-
complexes, which are a generalization of (bounded) complexes, periodic complexes and …