v. 1. Noncompact semisimple Lie algebras and groups -- v. 2. Quantum groups --
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
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"With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schr�odinger algebras, applications to holography"--