Dev Karan Singh

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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 $2^{nd}$ -cohomology of multiplicative Lie algebras, we properly generalize from the group case three classic results. We prove a Correspondence theorem whic…

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…