4 citations · 12 across the 16 of their papers we have counts for
17 papers
Characterization of Normalizer of Lie Superalgebra and its Application to Control Theory
Aroonima Sahoo, Kishor Chandra Pati, Tofan Kumar Khuntia
The dynamical systems having both bosonic and fermionic variables play an important role in the theory of supersymmetry. This article addresses the control problems including both…
On G-Derivations of Lie-Yamaguti Algebras
Aroonima Sahoo, Tofan Kumar Khuntia, Kishor Chandra Pati
This paper primarily deals with the study of G-derivations associated with Lie-Yamaguti algebras. Taking G as an automorphism group, the concept of G-derivations, which is a deriva…
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…
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…
A Study on the Synchronization Aspect of Star Connected Identical Chua Circuits
S. S. Muni, S. Padhee, K. C. Pati
This paper provides a study on the synchronization aspect of star connected identical chua's circuits. Different coupling such as conjugate coupling, diffusive coupling and mea…
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…
Affine Kac-Moody symmetric spaces associated with untwisted Kac-Moody algebras
Saudamini Nayak, S. S. Rout, K. C. Pati
In this paper we have computed all the affine Kac-Moody symmetric spaces which are tame Frechet manifolds starting from the Vogan diagrams related to the affine untwisted Kac-Moody…
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…
Vogan diagrams of hyperbolic Kac-Moody algebras
B. Ransingh, K. C. Pati
This paper constructs the Vogan diagrams for hyperbolic Kac- Moody algebras, which have potential physical applications in cosmological billiards.
A quick proof of the classification of real Lie superalgebras
B. Ransingh, K. C. Pati
This article classifies the real forms of Lie Superalgebra by Vogan diagrams, developing Borel and de Seibenthal theorem of semisimple Lie algebras for Lie superalgebras. A Vogan d…