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Conformal Symmetry Breaking Operators for Anti-de Sitter Spaces
Trends in Mathematics
For a pseudo-Riemannian manifold X and a totally geodesic hypersurface Y, we consider the problem of constructing and classifying all linear differential operators E^i(X) →E^j(Y) between the spaces of differential forms that intertwine multiplier representations of the Lie algebra of conformal vector fields. Extending the recent results in the Riemannian setting by Kobayashi-Kubo-Pevzner [Lecture Notes in Math. 2170, (2016)], we construct such differential operators and give a classification ofdoi:10.1007/978-3-319-63594-1_9 fatcat:vxl7uymiavbvjamfdy3ybewhw4