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Singular conformally invariant trilinear forms, II The higher multiplicity cases | Jean-Louis Clerc
; | Date: |
6 Jul 2015 | Abstract: | Let $S$ be the sphere of dimension $n-1, ngeq 4$. Let
$(pi_{lambda})_{lambdain mathbb C}$ be the scalar principle series of
representations of the conformal group $SO_0(1,n)$, realized on $mathcal
C^infty(S)$. For $oldsymbol lambda = (lambda_1,lambda_2,lambda_3) in
mathbb C^3$, let $Tri(oldsymbol lambda)$ be the space of continuous
trilinear forms on $mathcal C^infty(S) imes mathcal C^infty(S) imes
mathcal C^infty(S)$ which are invariant under $pi_{lambda_1} otimes
pi_{lambda_2} otimes pi_{lambda_3} $. For each value of $oldsymbol
lambda$, the dimension of $Tri(oldsymbol lambda)$ is computed and a basis
of $Tri(oldsymbol lambda)$ is described. | Source: | arXiv, 1507.1470 | Services: | Forum | Review | PDF | Favorites |
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