2 citations · 5 across the 18 of their papers we have counts for
19 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…
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…
On Controllability of Driftless Control System on Symmetric Spaces
Archana Tiwari, R. N. Padhan, K. C. Pati
Symmetric spaces arise in wide variety of problems in Mathematics and Physics. They are mostly studied in Representation theory, Harmonic analysis and Differential geometry. As man…
On -Nilpotent Multiplier of Lie Superalgebras
Rudra Narayan Padhan, Nupur Nandi, K. C. Pati
In this article we define the -nilpotent multiplier of a finite dimensional Lie suepralgebra. We characterize the structure of -nilpotent multiplier of finite dimensional nil…
Some properties of factor set in regular Hom-Lie algebras
Rudra Narayan Padhan, Nupur Nandi, K. C. Pati
In this paper, we give the definition of isoclinism for regular Hom-Lie algebras and verify some of its properties. Finally, we introduce the factor set and show that the isoclinis…
On dimension of the 2-multiplier of nilpotent Lie algebras
Rudra Narayan Padhan, K. C. Pati
This paper is devoted to the characterization of all finite dimensional nilpotent Lie algebras with , where we define $dim ~\mathcal{M}^{2}(L) = \dfrac{1}{3}n…
Some properties of isoclinism in Lie superalgebras
Saudamini Nayak, Rudra Narayan Padhan, Kishor Chandra Pati
Isoclinism of Lie superalgebras has been defined and studied currently. In this article it is shown that for finite dimensional Lie superalgebras of same dimension, the notation of…
Capability and the Schur multiplier of generalized Heisenberg Lie superalgebras
Rudra Narayan Padhan, K. C Pati
Recently, in [18] the authors gave some results on the structure, capability and the Schur multiplier of generalized Heisenberg Lie superalgebra. In this work we try to extend thes…
Detecting Capable Lie Superalgebra
Rudra Narayan Padhan, Saudamini Nayak, K. C Pati
In this article we show that distributive law holds for non-abelian tensor product of Lie superalgebras under certain direct sums. There by we obtain a rule for non-abelian exterio…
Some Studies On Central Derivation of Nilpotent Lie Superalgebras
Rudra Narayan Padhan, K. C. Pati
Many theorems and formulas of Lie algebras run quite parallel to Lie superalgebra case, sometimes giving interesting results. So it is quite natural to extend the new concepts of L…
Splints of root systems of Lie superalgebras
Rudra Narayan Padhan, K. C. Pati
Splints of root system of simple lie algebras appears naturally on studies of embedding of reductive subalgebras. A splint can be used to construct a branching rules as implementat…
Splints of root systems on Lie Superalgebras
B. Ransingh, K. C. Pati
This paper classifies the splints of the root system of classical Lie superalgebras as a superalgebraic conversion of the splints of classical root systems. It can be used to deriv…