  We construct an equivariant microlocal lift for locally symmetric spaces. In
other words, we demonstrate how to lift, in a ``semi-canonical'' fashion,
limits of eigenfunction measures on locally symmetric spaces to
Cartan-invariant measures on an appropriate bundle. The construction uses
elementary features of the representation theory of semisimple real Lie groups,
and can be considered a generalization of Zelditch's results from the upper
half-plane to all locally symmetric spaces of noncompact type. This will be
applied in a sequel to settle a version of the quantum unique ergodicity
problem on certain locally symmetric spaces.

Representation Theory;Dynamical Systems;Number Theory