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math.RA2023
Capability of Nilpotent Lie Superalgebras of Small Dimension
Rudra Narayan Padhan, Ibrahem Yakzan Hasan, Saudamini Nayak
In this paper, we define partially capable Lie superalgebra. As an application we classify all capable nilpotent Lie superalgebras of dimension less than equal to five.
math.RA2023
On the dimension of the Schur multiplier of nilpotent Lie superalgebras
Rudra Narayan Padhan, Ibrahem Yakzan Hasan
We provide a bound on the dimension of Schur multiplier of a finite dimensional nilpotent Lie superalgebra which is more precise than the previous bounds on the dimension of Schur…
math.RA2023
Finite-dimensional nilpotent Lie superalgebras of class two and skew-supersymmetric bilinear maps
Ibrahem Yakzan Hasan, Rudra Narayan Padhan
In this article, we discuss the category where the objects are finite-dimensional nilpotent Lie superalgebras of class two and the category where…