  We generalize the notion of hidden conformal symmetry in Kerr/CFT to
Kerr-(A)dS black holes in arbitrary dimensions. We build the SL(2, R)
generators directly from the Killing tower, whose Killing tensors and Killing
vectors enforce the separability of the equations of motion. Our construction
amounts to an explicit relationship between hidden conformal symmetries and
Killing tensors: we use the Killing tower to build a novel tensor equation
connecting the SL(2,R) Casimir with the radial Klein-Gordon operator. For
asymptotically flat black holes in four and five dimensions we recover
previously known results that were obtained using the "near-region" limit and
the monodromy method. We then perform a monodromy evaluation of the
Klein-Gordon scalar wave equation for all Kerr-(A)dS black holes, finding
explicit forms for the zero mode symmetry generators. We also extend this
analysis to the large-dimensional Schwarzschild black hole as a step towards
buliding a Large-D/CFT correspondence.
