Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Pati, K."'
Hom-Lie superalgebras can be considered as the deformation of Lie superalgebras; which are $\mathbb{Z}_2$-graded generalization of Hom-Lie algebras. The motivation of this paper is to introduce the concept of isoclinism and factor set in regular Hom-
Externí odkaz:
http://arxiv.org/abs/2209.05175
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 many physical systems have symmetric spaces as their configuration spaces
Externí odkaz:
http://arxiv.org/abs/2110.15583
Publikováno v:
In Scientia Horticulturae 15 February 2024 326
In this article we define the $c$-nilpotent multiplier of a finite dimensional Lie suepralgebra. We characterize the structure of $2$-nilpotent multiplier of finite dimensional nilpotent Lie superalgebras whose derived subalgebras have dimension at m
Externí odkaz:
http://arxiv.org/abs/2006.10970
Publikováno v:
2018 IEEE International Students' Conference on Electrical, Electronics and Computer Science (SCEECS), 1-6, 2018
This paper provides a study on the synchronization aspect of star connected $N$ identical chua's circuits. Different coupling such as conjugate coupling, diffusive coupling and mean-field coupling have been investigated in star topology. Mathematical
Externí odkaz:
http://arxiv.org/abs/2006.03155
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 isoclinism and isomorphism of two finite same dimensional regular Hom-Lie algeb
Externí odkaz:
http://arxiv.org/abs/2005.05555
Autor:
Padhan, Rudra Narayan, Pati, K. C.
This paper is devoted to the characterization of all finite dimensional nilpotent Lie algebras $L$ with $S^{2}(L)=0,1,2,3$, where we define $dim ~\mathcal{M}^{2}(L) = \dfrac{1}{3}n(n-1)(n-2)+3-S^{2}(L).$
Comment: Some of the work is already been
Comment: Some of the work is already been
Externí odkaz:
http://arxiv.org/abs/1811.09771
Autor:
Padhan, Rudra Narayan, Pati, K. C
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 these concepts to the case of generalized Heisenberg Lie superalgebra.
Externí odkaz:
http://arxiv.org/abs/1810.04862
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 exterior square of a Lie superalgebra. We define capable Lie superalgebra and
Externí odkaz:
http://arxiv.org/abs/1810.04459
Autor:
Padhan, Rudra Narayan, Pati, K. C.
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 Lie algebra immediately to Lie superalgebra case, as these type of alge
Externí odkaz:
http://arxiv.org/abs/1804.02514