  We provide a generalization of the Lie algebra of conformal Killing vector
fields to conformal Killing-Yano forms. A new Lie bracket for conformal
Killing-Yano forms that corresponds to slightly modified Schouten-Nijenhuis
bracket of differential forms is proposed. We show that conformal Killing-Yano
forms satisfy a graded Lie algebra in constant curvature manifolds. It is also
proven that normal conformal Killing-Yano forms in Einstein manifolds also
satisfy a graded Lie algebra. The constructed graded Lie algebras reduce to the
graded Lie algebra of Killing-Yano forms and the Lie algebras of conformal
Killing and Killing vector fields in special cases.
