2 papers
math.GR2025
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…
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…