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19972026
most citedClassification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix

54 citations · 273 across the 53 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.RT2021

Analogs of Bol operators for

Sofiane Bouarroudj, Dimitry Leites, Irina Shchepochkina

Bol operators (Bols for short) are differential operators invariant under the projective action of between spaces of weighted densities on…

math.RT2021

Analogs of Bol operators on superstrings

Sofiane Bouarroudj, Dimitry Leites, Irina Shchepochkina

The Bol operators are unary differential operators between spaces of weighted densities on the 1-dimensional manifold invariant under projective transformations of the manifold. On…

math.RT2021★ 1 cited

Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras

Sofiane Bouarroudj, Yoshiaki Maeda

A Lie superalgebra is called quasi-Frobenius if it admits a closed anti-symmetric non-degenerate bilinear form. We study the notion of double extensions of quasi-Frobenius Lie supe…

math.RT2021

Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic

Said Benayadi, Sofiane Bouarroudj

In this paper, we introduce and develop the notion of a Manin triple for a Lie superalgebra defined over a field of characteristic . We find cohomological necess…

math.RT2021★ 3 cited

Cohomologically rigid solvable Lie superalgebras with model filiform and model nilpotent nilradical

S. Bouarroudj, R. M. Navarro

In this paper, we find a family , in any arbitrary dimensions, of cohomologically rigid solvable Lie superalgebras with nilradical the model filiform Lie superalgebra $L^…