  General higher-dimensional rotating black hole spacetimes of any dimensions
admit the Killing and Killing-Yano tensors, which generate the hidden
symmetries just as in four-dimensional Kerr spacetime. We study these
properties of the black holes using the formalism of supersymmetric mechanics
of pseudo-classical spinning point particles. We present two nontrivial
supercharges, corresponding to the Killing-Yano and conformal Killing-Yano
tensors of the second rank. We demonstrate that an unusual extended
Poisson-Dirac algebra of these supercharges results in two independent Killing
tensors in spacetime dimensions $ D\geq 6 $, giving explicit examples for the
Myers-Perry black holes in $ D = 6 $ dimensions.
