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 introduce the notion of an exact dg category, which is a simultaneous generalization of
the notions of exact category in the sense of Quillen and of pretriangulated dg category in …

We generalize the mathematical definition of Coulomb branches of 3-dimensional ND 4
SUSY quiver gauge theories due to Nakajima (2016) and Braverman et al.(2018, 2019) to …

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 …

On the Combinatorics of Gentle Algebras Page 1 Canad. J. Math. Vol. 72 (), pp. – http://dx.doi.org/.
/SX ©Canadian Mathematical Society On the Combinatorics of Gentle Algebras omas Brüstle …

For a finite dimensional algebra $ A $ over a field $ k $, the 2-term silting complexes of $ A $
gives a simplicial complex $\Delta (A) $ called the\emph {$ g $-simplicial complex}. We give …

We realize the fundamental representations of quantum algebras via the supersymmetric
Higgs mechanism in gauge theories with 8 supercharges on an $\Omega $-background. We …

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 …

Throughout, let K be an algebraically closed field of characteristic 0. We provide a generic
classification of locally free representations of Geiß-Leclerc-Schröer's algebras HK (C, D, Ω) …

In this paper, we consider the singularity category D sg (mod A) and the Z-graded singularity
category D sg (mod ZA) for a Gorenstein monomial algebra A. Firstly, for a positively graded …