3 papers
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…
math.RA2022
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…