$\mathfrak{osp}(1|2)$-cohomology on multidifferential operators space

Mabrouk Ben Ammar; Amina Jabeur

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arXiv · 2610.14820

$\mathfrak{osp}(1|2)$-cohomology on multidifferential operators space

Mabrouk Ben Ammar·Amina Jabeur

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Abstract

We compute cohomology spaces of the ortosymplectic Lie superalgebra $\mathfrak{osp}(1|2)$ on the (1,1)-dimensional real superspace with coefficients in the superspace $\frak{D}_{λ,μ}$ of $n$-ary differential operators acting on weighted densities ($λ\in\mathbb{R}^n$ and $μ\in\mathbb{R}$).

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BibTeX RIS

Mabrouk Ben Ammar, Amina Jabeur. 2026-10-10. $\mathfrak{osp}(1|2)$-cohomology on multidifferential operators space. https://arxiv.org/abs/2610.14820

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