On \(\mathfrak{osp}(2|2)\)-relative cohomology of the Lie superalgebra of contact vector fields and deformations

DOI10.1016/j.geomphys.2017.12.006zbMath1457.53069OpenAlexW2782279091MaRDI QIDQ681808

Ben Fraj Nizar, Raouafi Hamza, Meher Abdaoui

Publication date: 13 February 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.12.006

zbMATH Keywords

cohomologydeformationsuperalgebrasupertransvectants

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)

The Bargmann symmetry constraint of the new super Dirac hierarchy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential operators on supercircle: conformally equivariant quantization and symbol calculus
• \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols
• Cohomology of \({\mathcal {K}(2)}\) acting on linear differential operators on the superspace \({\mathbb{R}^{1|2}}\)
• Construction of miniversal deformations of Lie algebras
• Deforming the Lie algebra of vector fields on \(S^1\) inside the Poisson algebra on \(\dot T^*S^1\)
• Deformation of \(\mathfrak{vect}(1)\)-modules of symbols
• Deformations of subalgebras of Lie algebras
• 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
• Deformations of Modules of Differential Forms
• 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
• Lie superalgebras of string theories.

This page was built for publication: On \(\mathfrak{osp}(2|2)\)-relative cohomology of the Lie superalgebra of contact vector fields and deformations