3 papers
math.RA2025
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…
math.GR2024
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…
math.RA2024
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…