Add to ORKGWe establish automorphisms with closed formulas on quasi-split $\imath$quantum groups of symmetric Kac-Moody type associated to restricted Weyl groups. The proofs are carried out in the framework of $\imath$Hall algebras and reflection functors, thanks to the $\imath$Hall algebra realization of $\imath$quantum groups in our previous work. Several quantum binomial identities arising along the way are established.Comment: 53 page
By employing Gauss decomposition, we establish a direct and explicit isomorphism between the twisted...
AbstractWe construct a functor from a certain category of quantum semigroups to a category of quantu...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
let $\widetilde{\bf U}^\imath$ be a quasi-split universal $\imath$quantum group associated to a quan...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
We develop an invariant theory of quasi-split $\imath$quantum groups $\mathbf{U}_n^\imath$ of type A...
Expanding the classic work of Letzter and Kolb, we construct quantum supersymmetric pairs $({\mathbf...
We construct quantum supersymmetric pairs $({\bold U},{\bold U}^\imath)$ of type AIII and elucidate ...
We introduce the notion of a cylindrical bialgebra, which is a quasitriangular bialgebra H endowed w...
We study Cayley graphs of abelian groups from the perspective of quantum symmetries. We develop a ge...
Recently, Lu and Wang formulated a Drinfeld type presentation for $\imath$quantum group $\widetilde{...
We construct a braided analogue of the quantum permutation group and show that it is the universal b...
For a quasi-split Satake diagram, we define a modified $q$-Weyl algebra, and show that there is an a...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
By employing Gauss decomposition, we establish a direct and explicit isomorphism between the twisted...
AbstractWe construct a functor from a certain category of quantum semigroups to a category of quantu...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
let $\widetilde{\bf U}^\imath$ be a quasi-split universal $\imath$quantum group associated to a quan...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
We develop an invariant theory of quasi-split $\imath$quantum groups $\mathbf{U}_n^\imath$ of type A...
Expanding the classic work of Letzter and Kolb, we construct quantum supersymmetric pairs $({\mathbf...
We construct quantum supersymmetric pairs $({\bold U},{\bold U}^\imath)$ of type AIII and elucidate ...
We introduce the notion of a cylindrical bialgebra, which is a quasitriangular bialgebra H endowed w...
We study Cayley graphs of abelian groups from the perspective of quantum symmetries. We develop a ge...
Recently, Lu and Wang formulated a Drinfeld type presentation for $\imath$quantum group $\widetilde{...
We construct a braided analogue of the quantum permutation group and show that it is the universal b...
For a quasi-split Satake diagram, we define a modified $q$-Weyl algebra, and show that there is an a...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
By employing Gauss decomposition, we establish a direct and explicit isomorphism between the twisted...
AbstractWe construct a functor from a certain category of quantum semigroups to a category of quantu...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...