Cohomology of \(\mathfrak{sl}(2)\) acting on the space of \(n\)-ary differential operators on \(\mathbb{R} \)

DOI10.1007/S13226-021-00012-ZOpenAlexW3183023926MaRDI QIDQ2065404

Rabeb Sidaoui, Mabrouk Ben Ammar

Publication date: 7 January 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02847

zbMATH Keywords

cohomologyweighted densities

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56)

Cites Work

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• Homology of the Lie algebra of vector fields on the line
• 𝔰𝔩(2, ℝ)-invariant 3-ary differential operators and cohomology of 𝔰𝔩(2, ℝ) acting on 3-ary differential operators
• Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative
• COHOMOLOGY OF THE VECTOR FIELDS LIE ALGEBRAS ON ℝℙ¹ ACTING ON BILINEAR DIFFERENTIAL OPERATORS
• Cohomology and deformations in graded Lie algebras
• On the cohomology of \(\text{sl}(m+1,\mathbb R)\) acting on differential operators and \(\text{sl}(m+1,\mathbb R)\)-equivariant symbol

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