ABSTRACT
Quantum groups are the Hilbert space analog of topological groups, and
thus their description naturally involves C*-algebras. (There is a von
Neumann algebra version of the theory as well; it is more or less equiva-
lent to the C*-algebra version, just as in the classical case where there is
an equivalence between topological and measurable groups.) As we are
going to discuss quantum groups rst in the nite dimensional setting,
we will begin by giving an explicit description of all nite dimensional
C*-algebras. Here there is some room for variety, as the following ex-
ample shows.
