  We give a new formula for the Lichnerowicz Laplacian on normal homogeneous
spaces in terms of Casimir operators. We derive some practical estimates and
apply them to the known list of non-symmetric, compact, simply connected
homogeneous spaces $G/H$ with $G$ simple whose standard metric is Einstein.
This yields many new examples of Einstein metrics which are stable in the
Einstein-Hilbert sense, which have long been lacking in the positive scalar
curvature setting.
