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PreprintCC0arXiv

osp(1|2)-cohomology on multidifferential operators space

Abstract

We compute cohomology spaces of the ortosymplectic Lie superalgebra osp(1|2) on the (1,1)-dimensional real superspace with coefficients in the superspace frakDλ,μ of n-ary differential operators acting on weighted densities (λ∈ℝn and μ∈ℝ).

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BibTeX
@misc{ammar2026osp12cohomology,
  title = {{$\mathfrakosp(1|2)$-cohomology on multidifferential operators space}},
  author = {Mabrouk Ben Ammar and Amina Jabeur},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.14820},
  eprint = {2610.14820},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.14820},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - osp(1|2)-cohomology on multidifferential operators space
AU  - Mabrouk Ben Ammar
AU  - Amina Jabeur
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.14820
UR  - https://arxiv.org/abs/2610.14820
AB  - We compute cohomology spaces of the ortosymplectic Lie superalgebra osp(1|2) on the (1,1)-dimensional real superspace with coefficients in the superspace frakD_λ,μ of n-ary differential operators acting on weighted densities (λ∈ℝ^n and μ∈ℝ).
ER  -