THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ^1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY

DOI10.1142/S0219887813200041zbMath1266.53082OpenAlexW1956575286WikidataQ115245411 ScholiaQ115245411MaRDI QIDQ4917799

Imed Basdouri, Ismail Laraiedh, Othmen Ncib

Publication date: 2 May 2013

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/s0219887813200041

zbMATH Keywords

differential operators Lie superalgebra densities relative cohomology

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Deformation quantization, star products (53D55) Cohomology of Lie (super)algebras (17B56)

Related Items (max. 100)

Cohomology of aff(1|1) acting on the space of bilinear differential operators on the superspace IR1|1 ⋮ Cohomology of 𝔞𝔣𝔣(2|1) acting on the space of linear differential operators on the superspace ℝ1|2 ⋮ Unnamed Item ⋮ On $\mathfrak{aff}(2 | 1)$-relative cohomology on $\mathbb{R}^{1 | 2} $ ⋮ About the 2-cohomology of the orthosymplectic superalgebra ⋮ 𝔥-Relative cohomology on S1|1 and deformations ⋮ The affine cohomology spaces and its applications ⋮ Upper bound estimate for the blow-up time of a class of integrodifferential equation of parabolic type involving variable source ⋮ The linear $\mathfrak{n}(1|N)$-invariant differential operators and $\mathfrak{n}(1|N)$-relative cohomology

Cites Work

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THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY

THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ^1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY