On 𝔬𝔰𝔭(1|2)-relative cohomology of the Lie superalgebra of contact vector fields on ℝ1|1

DOI10.1142/S0219887817500220zbMath1358.53092OpenAlexW2956421005MaRDI QIDQ2958892

Raouafi Hamza, Ben Fraj Nizar, Meher Abdaoui

Publication date: 3 February 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817500220

zbMATH Keywords

cohomologysuperalgebrasupertransvectants

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)

Related Items (1)

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

Cites Work

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• Differential operators on supercircle: conformally equivariant quantization and symbol calculus
• Ternary invariant differential operators acting on spaces of weighted densities
• Supertransvectants and Symplectic Geometry
• Conformal symbols and the action of contact vector fields over the superline
• Superconformally covariant operators and super-W-algebras
• Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative
• COHOMOLOGY OF THE VECTOR FIELDS LIE ALGEBRAS ON ℝℙ¹ ACTING ON BILINEAR DIFFERENTIAL OPERATORS
• Normalisation d'une représentation non linéaire d'une algèbre de Lie
• COHOMOLOGY OF 𝔬𝔰𝔭(1|2) ACTING ON THE SPACE OF BILINEAR DIFFERENTIAL OPERATORS ON THE SUPERSPACE ℝ^1|1
• Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols
• Supertransvectants, cohomology, and deformations
• 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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