Invariant bilinear operators and the second 𝔰𝔩(2)-relative cohomology of the Lie algebra of vector fields on ℝ

DOI10.1142/S0219498823500524OpenAlexW3207977829WikidataQ115245559 ScholiaQ115245559MaRDI QIDQ5879292

Meher Abdaoui

Publication date: 28 February 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500524

zbMATH Keywords

deformationinvariant differential operatorsLie algebra of vector fieldsGelfand-Fuchs cohomology

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Deformation quantization, star products (53D55)

Cites Work

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• \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols
• Extensions of the Virasoro group and the Virasoro algebra by modules of tensor densities on \(S^ 1\)
• 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 of the vector fields lie algebras on ℝℙ1 acting on bilinear differential operators
• PROJECTIVE AND CONFORMAL SCHWARZIAN DERIVATIVES AND COHOMOLOGY OF LIE ALGEBRAS VECTOR FIELDS RELATED TO DIFFERENTIAL OPERATORS
• Deformations of homomorphisms of Lie groups and Lie algebras

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