Bilinear differential operators and $\mathfrak{osp}(1|2)$-relative cohomology on $\mathbb{R}^{1|1}$

DOI10.33044/REVUMA.2100OpenAlexW4313485867MaRDI QIDQ5880908

Abderraouf Ghallabi, Meher Abdaoui

Publication date: 9 March 2023

Published in: Revista de la Unión Matemática Argentina (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33044/revuma.2100

zbMATH Keywords

cohomologysuperalgebrainvariant differential operator

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 \(S^ 1\)
• On 𝔬𝔰𝔭(1|2)-relative cohomology of the Lie superalgebra of contact vector fields on ℝ1|1
• On sl(2)-relative cohomology of the Lie algebra of vector fields and differential operators
• Conformal symbols and the action of contact vector fields over the superline
• 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 𝔬𝔰𝔭(1|2) ACTING ON THE SPACE OF BILINEAR DIFFERENTIAL OPERATORS ON THE SUPERSPACE ℝ^1|1
• 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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