Abstract
We introduce o(p + 1q + 1)-invariant bilinear differential operators on the space of tensor densities on Rn generalizing the well-known bilinear sl2-invariant differential operators in the one-dimensional case, called Transvectants or Rankin–Cohen brackets. We also consider already known linear o(p + 1q + 1)-invariant differential operators given by powers of the Laplacian.
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Ovsienko, V., Redou, P. Generalized Transvectants-Rankin–Cohen Brackets. Letters in Mathematical Physics 63, 19–28 (2003). https://doi.org/10.1023/A:1022956710255
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DOI: https://doi.org/10.1023/A:1022956710255