Singular invariant trilinear forms and covariant (bi-)differential operators under the conformal group

Invariant trilinear forms for spherical degenerate principal series of complex symplectic groups

“…The method of [CKØP11] also allowed to recover the case of Lorentz groups from another point of view. A complementary study of these conformally invariant trilinear forms was done in [BC12] where residues at singular parameters were computed.…”

Singular Conformally Invariant Trilinear Forms, Ii the Higher Multiplicity Case

“…This article continues the study of conformally invariant trilinear forms on the sphere S = S n−1 , n ≥ 4 (see [4,1]), and more specifically achieves the work begun in [3]. Notation is same as in [3] and sections of the present paper are numbered in continuity with those of [3].…”

Covariant bi-differential operators on matrix space

“…The striking fact that the operator D λ,µ , although obtained by composing non-local operators, is a differential operator (hence local) was already observed in another geometric context, namely for conformal geometry on the sphere S d , d ≥ 3 (see [2], [5]). It seems reasonable to conjecture that similar results are valid for any (real or complex) simple Jordan algebra and its conformal group (see [1] for analysis on these spaces).…”