The linear \(\mathfrak{n}(1|N)\)-invariant differential operators and \(\mathfrak{n}(1|N)\)-relative cohomology
type: Item
instance of: scholarly article
title: The linear \(\mathfrak{n}(1|N)\)-invariant differential operators and \(\mathfrak{n}(1|N)\)-relative cohomology
author: Hafedh Khalfoun
author: Ismail Laraiedh
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2020-08-03T00:00:00Z
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 53D55
Mathematics Subject Classification ID: 14F10
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B68
zbMATH DE Number: 7226758
zbMATH Keywords: supercircle
zbMATH Keywords: weighted densities
zbMATH Keywords: superpseudodifferential operators
zbMATH Keywords: Heisenberg Lie superalgebra
MaRDI profile type: Publication
full work available at URL: crmath.22
OpenAlex ID: W3012829125
cites work: On the Cohomology of the Lie Superalgebra of Contact Vector Fields on S1|2
cites work: Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\)
cites work: THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY
cites work: Conformal symbols and the action of contact vector fields over the superline
cites work: Q3819212
cites work: Differential operators on supercircle: conformally equivariant quantization and symbol calculus
cites work: Lie superalgebras of string theories.
cites work: Q4803249
cites work: Q3881596
cites work: Deforming the Lie algebra of vector fields on \(S^1\) inside the Poisson algebra on \(\dot T^*S^1\)
cites work: Q4952810
cites work: Exceptional N=6 superconformal algebra
DOI: 10.5802/CRMATH.22
Recommended article: Q5367260
Recommended article: The linear \(\mathfrak{osp}(n|2)\)-invariant differential operators and cohomology
Recommended article: THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY
Recommended article: Cohomology of 𝔞𝔣𝔣(1|1) acting on the space of n-ary linear differential operators on S1|1
Recommended article: First cohomology of 𝔞𝔣𝔣(1) and 𝔞𝔣𝔣(1|1) acting on linear differential operators
Recommended article: Cohomology of \(\mathfrak{aff}(n\vert 1)\) acting on the spaces of linear differential operators on the superspace \(\mathbb{R}^{1/n}\)
Recommended article: Bilinear differential operators and $\mathfrak{osp}(1|2)$-relative cohomology on $\mathbb{R}^{1|1}$
Recommended article: Cohomology and deformation of 𝔞𝔣𝔣(1|1) acting on differential operators
Recommended article: The Lie algebras $ \mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators
Recommended article: Lie-Rinehart and Hochschild cohomology for algebras of differential operators
description: scientific article; zbMATH DE number 7226758