Journal of Lie Theory

no. 1
Families of Equivariant Differential Operators and Anti-de Sitter Spaces
Journal of Lie Theory, Volume 19 (2009) no. 1, pp. 149-183
We prove the existence and uniqueness of a sequence of differential intertwining operators for principal series representations, which are realized on boundaries of anti-de Sitter spaces. Algebraically, these operators correspond to homomorphisms of generalized Verma modules. We relate these families to the asymptotics of eigenfunctions on anti-de Sitter spaces.
DOI: 10.5802/jolt.545
Classification: 58J50, 22E30, 22E47, 43A85, 53A30
Keywords: Anti-de Sitter space, spectral geometry, scattering theory, intertwining operators, Verma modules, conformal differential geometry 
@article{JOLT_2009_19_1_a6,
     author = {P. B\"acklund},
     title = {Families of {Equivariant} {Differential} {Operators} and {Anti-de} {Sitter} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {149--183},
     year = {2009},
     volume = {19},
     number = {1},
     doi = {10.5802/jolt.545},
     zbl = {1186.58018},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.545/}
}
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P. Bäcklund. Families of Equivariant Differential Operators and Anti-de Sitter Spaces. Journal of Lie Theory, Volume 19 (2009) no. 1, pp. 149-183. doi: 10.5802/jolt.545

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