Lie algebras and groups -- Real semisimple Lie algebras -- Invariant differential operators -- Case of the anti-de sitter group -- Conformal case in 4D -- Kazhdan/Lusztig polynomials, subsingular vectors, and conditionally invariant equations -- Invariant differential operators for noncompact Lie algebras parabolically related to conformal Lie algebras -- Multilinear invariant differential operators from new generalized verma modules.