  The exclusion principle of Maldacena and Strominger is seen to follow from
deformed Heisenberg algebras associated with the chiral rings of S_N orbifold
CFTs. These deformed algebras are related to quantum groups at roots of unity,
and are interpreted as algebras of space-time field creation and annihilation
operators. We also propose, as space-time origin of the stringy exclusion
principle, that the $ADS_3 \times S^3$ space-time of the associated
six-dimensional supergravity theory acquires, when quantum effects are taken
into account, a non-commutative structure given by $SU_q(1,1) \times SU_q (2)$.
Both remarks imply that finite N effects are captured by quantum groups
$SL_q(2)$ with $q= e^{{i \pi \over {N + 1}}}$. This implies that a proper
framework for the theories in question is given by gravity on a non-commutative
spacetime with a q-deformation of field oscillators. An interesting consequence
of this framework is a holographic interpretation for a product structure in
the space of all unitary representations of the non-compact quantum group
$SU_q(1,1)$ at roots of unity.
