Inspired by the multiplier Hopf algebra theory introduced by A. Van Daele, this paper introduces a new algebraic structure, a multiplier Hopf coquasigroup, by constructing the integral dual of an infinite-dimensional Hopf quasigroup with faithful integrals. Then, it shows that the biduality theorem also holds for Hopf quasigroups and multiplier Hopf coquasigroups of the discrete type
AbstractWe put a non-trivial comultiplication on the natural tensor product algebra of two multiplie...
AbstractIn this paper, we generalize Majidʼs bicrossproduct construction. We start with a pair (A,B)...
We study the notion of Radford biproduct Hopf algebras in the Zunino category. As an application, we...
We define a category containing the discrete quantum groups (and hence the discrete groups and the d...
AbstractWe introduce the notions of Hopf quasigroup and Hopf coquasigroup H generalising the classic...
AbstractIn this paper, we study regular multiplier Hopf algebras with cointegrals. They are a certai...
In this paper we will study some structures of algebraic quantum hypergroups. First, we construct mo...
AbstractA classical result in the theory of Hopf algebras concerns the uniqueness and existence of i...
AbstractAn algebraic quantum group is a regular multiplier Hopf algebra with integrals. In this pape...
summary:We recall the notion of Hopf quasigroups introduced previously by the authors. We construct ...
AbstractWe put the known results on the antipode of a usual quasitriangular Hopf algebra into the fr...
summary:We recall the notion of Hopf quasigroups introduced previously by the authors. We construct ...
AbstractLetGbe any discrete group. Consider the algebraAof all complex functions with finite support...
AbstractWe show for a cosemisimple bialgebra that a standard *-operation making it into a discrete q...
AbstractA sovereign monoidal category is an autonomous monoidal category endowed with the choice of ...
AbstractWe put a non-trivial comultiplication on the natural tensor product algebra of two multiplie...
AbstractIn this paper, we generalize Majidʼs bicrossproduct construction. We start with a pair (A,B)...
We study the notion of Radford biproduct Hopf algebras in the Zunino category. As an application, we...
We define a category containing the discrete quantum groups (and hence the discrete groups and the d...
AbstractWe introduce the notions of Hopf quasigroup and Hopf coquasigroup H generalising the classic...
AbstractIn this paper, we study regular multiplier Hopf algebras with cointegrals. They are a certai...
In this paper we will study some structures of algebraic quantum hypergroups. First, we construct mo...
AbstractA classical result in the theory of Hopf algebras concerns the uniqueness and existence of i...
AbstractAn algebraic quantum group is a regular multiplier Hopf algebra with integrals. In this pape...
summary:We recall the notion of Hopf quasigroups introduced previously by the authors. We construct ...
AbstractWe put the known results on the antipode of a usual quasitriangular Hopf algebra into the fr...
summary:We recall the notion of Hopf quasigroups introduced previously by the authors. We construct ...
AbstractLetGbe any discrete group. Consider the algebraAof all complex functions with finite support...
AbstractWe show for a cosemisimple bialgebra that a standard *-operation making it into a discrete q...
AbstractA sovereign monoidal category is an autonomous monoidal category endowed with the choice of ...
AbstractWe put a non-trivial comultiplication on the natural tensor product algebra of two multiplie...
AbstractIn this paper, we generalize Majidʼs bicrossproduct construction. We start with a pair (A,B)...
We study the notion of Radford biproduct Hopf algebras in the Zunino category. As an application, we...
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