Add to ORKGThe first quantum group cohomology with trivial coefficients of the discrete dual of any unitary easy quantum group is computed. That includes those potential quantum groups whose associated categories of two-colored partitions have not yet been found.Comment: 43 pages. v2: Two minor changes to the introduction on page 2: Added one reference for context and corrected "cup products" to "linear combination of cup products
Quantum $L_\infty$ algebras are a generalization of $L_\infty$ algebras with a scalar product and wi...
Let us begin by discussing what quantum groups are, and why we might want to study them. We will sta...
We summarize different approaches to the theory of quantum graphs and provide several ways to constr...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
We study Cayley graphs of abelian groups from the perspective of quantum symmetries. We develop a ge...
We define and study quantum permutations of infinite sets. This leads to discrete quantum groups whi...
We study Property (T) for locally compact quantum groups, providing several new characterisations, e...
We construct quantum supersymmetric pairs $({\bold U},{\bold U}^\imath)$ of type AIII and elucidate ...
We formulate a notion of the quantum automorphism groups of $2$-graphs. We show that two isomorphic ...
We establish automorphisms with closed formulas on quasi-split $\imath$quantum groups of symmetric K...
We provide a combinatorial characterization of two-sided cells in modified $\imath$quantum groups of...
We compute all the quantum symmetries of a graph with n- disjoint loops at the critical inverse temp...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
We describe explicitly all actions of the quantum permutation groups on classical compact spaces. In...
Quantum $L_\infty$ algebras are a generalization of $L_\infty$ algebras with a scalar product and wi...
Let us begin by discussing what quantum groups are, and why we might want to study them. We will sta...
We summarize different approaches to the theory of quantum graphs and provide several ways to constr...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
A quantum symmetric pair consists of a quantum group $\mathbf U$ and its coideal subalgebra ${\mathb...
We study Cayley graphs of abelian groups from the perspective of quantum symmetries. We develop a ge...
We define and study quantum permutations of infinite sets. This leads to discrete quantum groups whi...
We study Property (T) for locally compact quantum groups, providing several new characterisations, e...
We construct quantum supersymmetric pairs $({\bold U},{\bold U}^\imath)$ of type AIII and elucidate ...
We formulate a notion of the quantum automorphism groups of $2$-graphs. We show that two isomorphic ...
We establish automorphisms with closed formulas on quasi-split $\imath$quantum groups of symmetric K...
We provide a combinatorial characterization of two-sided cells in modified $\imath$quantum groups of...
We compute all the quantum symmetries of a graph with n- disjoint loops at the critical inverse temp...
summary:Summary: The author gives the defining relations of a new type of bialgebras that generalize...
We describe explicitly all actions of the quantum permutation groups on classical compact spaces. In...
Quantum $L_\infty$ algebras are a generalization of $L_\infty$ algebras with a scalar product and wi...
Let us begin by discussing what quantum groups are, and why we might want to study them. We will sta...
We summarize different approaches to the theory of quantum graphs and provide several ways to constr...