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math.RA2012★ 1 cited
Bicrossproducts of algebraic quantum groups
Lydia Delvaux, Alfons Van Daele, Shuanhong Wang
Let and be two algebraic quantum groups (i.e. multiplier Hopf algebras with integrals). Assume that is a right -module algebra and that is a left -comodule co…
math.RA2009★ 1 cited
Bicrossproducts of multiplier Hopf algebras
Lydia Delvaux, Alfons Van Daele, Shuanhong Wang
In this paper, we generalize Majid's bicrossproduct construction. We start with a pair (A,B) of two regular multiplier Hopf algebras. We assume that B is a right A-module algebra a…
math.RA2006★ 1 cited
Algebraic Quantum Hypergroups
L. Delvaux, A. Van Daele
An algebraic quantum group is a multiplier Hopf algebra with integrals. In this paper we will develop a theory of algebraic quantum hypergroups. It is very similar to the theory of…