Families of equivariant differential operators and anti de Sitter spaces

Details Families of equivariant differential operators and anti de Sitter spaces Families of equivariant differential operators and anti de Sitter spaces

2008-06-27

arxiv.org/abs/0806.4508v1

Journal of Lie Theory 19 (2009), No. 1, 149--183

Mathematics

Differential Geometry

31 pages

Scientific paper

We prove existence and uniqueness of a sequence of differential intertwining
operators for spherical 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.

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