1 citations · 3 across the 13 of their papers we have counts for
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On the triple tensor product of generalized Heisenberg Lie superalgebra of rank
Ibrahem Yakzan Hasan, Rudra Narayan Padhan
In this article, we compute the Schur multiplier of all generalized Heisenberg Lie superalgebras of rank . We discuss the structure of and where is…
On the dimension of non-abelian tensor square of Lie superalgebras
Rudra Narayan Padhan, Ibrahem Yakzan Hasan, Sushree Sangeeta Pradhan
In this paper, we determine upper bound for the non-abelian tensor product of finite dimensional Lie superalgebra. More precisely, if is a non-abelian nilpotent Lie superalgebr…
Isoclinic relative central extensions of a pair of regular Hom-Lie algebras
Rudra Narayan Padhan, Tofan Kumar Khuntia
In this paper, we show the relation among the relative central extensions in an isoclinism family of a particular relative central extension of Hom-Lie algebras. We define the noti…
Isoclinism and factor set in regular Hom-Lie Superalgebras
N. Nandi, R. N. Padhan, K. C. Pati
Hom-Lie superalgebras can be considered as the deformation of Lie superalgebras; which are -graded generalization of Hom-Lie algebras. The motivation of this paper is…
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…