ALGEBRAIC QUANTUM HYPERGROUPS II. CONSTRUCTIONS AND EXAMPLES Hasselt University KU Leuven
Let G be a group and let A be the algebra of complex functions on G with finite support. The product in G gives rise to a coproduct Delta on A making the pair (A, Delta) a multiplier Hopf algebra. In fact, because there exist integrals, we get an algebraic quantum group as introduced and studied in [A. Van Daele, Adv. Math. 140 (1998) 323]. Now let H be a finite subgroup of G and consider the subalgebra A(1) of functions in A that are constant ...