COHOMOLOGY OF 𝔬𝔰𝔭(1|2) ACTING ON THE SPACE OF BILINEAR DIFFERENTIAL OPERATORS ON THE SUPERSPACE ℝ1|1

DOI10.1142/S0219887812500338zbMath1263.17017arXiv0911.2769OpenAlexW3124892143WikidataQ115245421 ScholiaQ115245421MaRDI QIDQ4902534

Amina Jabeur, Mabrouk Ben Ammar, I. Safi

Publication date: 16 January 2013

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

Full work available at URL: https://arxiv.org/abs/0911.2769

zbMATH Keywords

cohomologyorthosymplectic superalgebraweighted densities

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Bilinear differential operators and $\mathfrak{osp}(1|2)$-relative cohomology on $\mathbb{R}^{1|1}$ ⋮ Cohomology of 𝔞𝔣𝔣(1|1) acting on the space of n-ary linear differential operators on S1|1 ⋮ On 𝔬𝔰𝔭(1|2)-relative cohomology of the Lie superalgebra of contact vector fields on ℝ1|1

Cites Work

• Differential operators on supercircle: conformally equivariant quantization and symbol calculus
• Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\)
• 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 and deformations in graded Lie algebras
• On the cohomology of \(\text{sl}(m+1,\mathbb R)\) acting on differential operators and \(\text{sl}(m+1,\mathbb R)\)-equivariant symbol

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