  For a noncommutative configuration space whose coordinate algebra is the
universal enveloping algebra of a finite dimensional Lie algebra, it is known
how to introduce an extension playing the role of the corresponding
noncommutative phase space, namely by adding the commuting deformed derivatives
in a consistent and nontrivial way, therefore obtaining certain deformed
Heisenberg algebra. This algebra has been studied in physical contexts, mainly
in the case of the kappa-Minkowski space-time. Here we equip the entire phase
space algebra with a coproduct, so that it becomes an instance of a completed
variant of a Hopf algebroid over a noncommutative base, where the base is the
enveloping algebra.
