Let Vect (ℝℙ1) be the Lie algebra of smooth vector fields on ℝℙ1. In this paper, we classify -invariant linear differential operators from Vect (ℝℙ1) to vanishing on , where is the space of bilinear differential operators acting on weighted densities. This result allows us to compute the first differential -relative cohomology of Vect (ℝℙ1) with coefficients in .
Bouarroudj, S., On sl-relative Cohomology of the Lie algebra of vector fields and differentiel operators, J. Nonlinear Math. Phys, 14:1 (2007), 1–29.
Bouarroudj, S., On -relative Cohomology of the Lie algebra of vector fields and differentiel operators, J. Nonlinear Math. Phys, 14:1 (2007), 1–29.)| false
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Studia Scientiarum Mathematicarum Hungarica
2021 Volume 58
Magyar Tudományos Akadémia
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