We give a complete classification of conformally covariant differential operators between the spaces of differential i-forms on the sphere Sn and j-forms on the totally geodesic hypersphere Sn-1 by analyzing the restriction of principal series representations of the Lie group O(n+1,1). Further, we provide explicit formula for these matrix-valued operators in the flat coordinates and find factorization identities for them.
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© Toshiyuki Kobayashi