The binary invariant differential operators on weighted densities on the superspace R1∣n and cohomology

DOI10.1063/1.3355127zbMath1310.17011arXiv0912.5070OpenAlexW3102604854MaRDI QIDQ5249151

Salem Omri, Nizar Ben Fraj, Mabrouk Ben Ammar

Publication date: 29 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.5070

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) General theory of ordinary differential operators (47E05) Superalgebras (17A70) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Cohomology of Lie (super)algebras (17B56) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items

Second cohomology space of the orthosymplectic Lie superalgebra with coefficients in the Lie superalgebra of superpseudodifferential operators ⋮ Differential operators on the supercircle S1|2 and symbol map ⋮ Cohomology of orthosymplectic Lie superalgebra acting on λ-densities on ℝ1|n ⋮ On the cohomology of the orthosymplectic superalgebra ⋮ About the 2-cohomology of the orthosymplectic superalgebra ⋮ The linear \(\mathfrak{osp}(n|2)\)-invariant differential operators and cohomology ⋮ Supertransvectants, cohomology, and deformations ⋮ 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 ⋮ Deformation of modules of weighted densities on the superspace \(\mathbb{R}^{1| N}\) ⋮ First cohomology space of the orthosymplectic Lie superalgebra \(\mathfrak{osp}(n|2)\) in the Lie superalgebra of superpseudodifferential operators

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