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The continuous and discrete symmetries of the Dirac-type operators producedby particular Killing-Yano tensors are studied in manifolds of arbitrarydimensions. The Killing-Yano tensors considered are covariantly constant andrealize certain square roots of the metric tensor. Such a Killing-Yano tensorproduces simultaneously a Dirac-type operator and the generator of aone-parameter Lie group connecting this operator with the standard Dirac one.The Dirac operators are related among themselves through continuous or discretetransformations. It is shown that the groups of the continuous symmetry can beonly U(1) and SU(2), specific to (hyper-)Kahler spaces, but arising even incases when the requirements for these special geometries are not fulfilled. Thediscrete symmetries are also studied obtaining the discrete groups Z_4 and Q.The briefly presented examples are the Euclidean Taub-NUT space and theMinkowski spacetime.Comment: 27 pages, latex, no figures, final version to be published in Class.  Quantum Gravit

Symmetries of the Dirac operators associated with covariantly constant Killing–Yano tensors