5 papers
Relative Lie central extension and Schur multiplier of pairs of multiplicative Lie algebras
Dev Karan Singh, Shiv Datt Kumar
In this paper, we introduce the concept of relative Lie central extension for pair of multiplicative Lie algebras. Then, we discuss the concept of isoclinism for relative Lie centr…
Correspondence, Wells and Hochschild-Serre sequences for nonabelian extensions of multiplicative Lie algebras
Alexander Wires, Dev Karan Singh, Shiv Datt Kumar
For nonabelian -cohomology of multiplicative Lie algebras, we properly generalize from the group case three classic results. We prove a Correspondence theorem whic…
Tensor square and isoclinic extensions of multiplicative Lie algebras
Dev Karan Singh, Amit Kumar, Sumit Kumar Upadhyay +1
In this paper, we discuss the capable and isoclinic properties of the tensor square in the context of multiplicative Lie algebras. We also developed the concept of isoclinic extens…
Automorphisms of Multiplicative Lie algebra Extensions
Dev Karan Singh, Shiv Datt Kumar
In this paper, we discuss the inducibility problem for automorphisms of multiplicative Lie algebra extensions and show that obstruction to the inducibility of pairs lies in the sec…
Sixteen-dimensional Sedenion-like Associative Algebra
Jitender, Shiv Datt Kumar
In this article, we construct a -dimensional sedenion-like associative algebra, which is an even subalgebra of -dimensional Clifford algebra . We define the norm…