5 papers
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.
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…
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…
Detecting capable pairs of some nilpotent Lie superalgebras
Ibrahem Yakzan Hasan, Rudra Narayan Padhan, Manjula Das
In this article, we define the capable pairs of Lie superalgebras. We classify all capable pairs of abelian and Heisenberg Lie superalgebras. After that we discuss on pairs of Lie…
Cohomology, superderivations, and abelian extensions of -Lie superalgebras
Nupur Nandi, Rudra Narayan Padhan
The main object of study of this paper is the notion of 3-Lie superalgebras with superderivations. We consider a representation of a -Lie superalgebra $\mathca…