Automorphisms of Multiplicative Lie algebra Extensions
- Resource Type
- Working Paper
- Authors
- Singh, Dev Karan; Kumar, Shiv Datt
- Source
- Subject
- Mathematics - Rings and Algebras
17B40, 17B56, 18G50
- Language
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 second cohomology group of multiplicative Lie algebras. We also establish the Wells type exact sequence for multiplicative Lie algebras, which relates automorphism groups with the second cohomology group of multiplicative Lie algebras.
Comment: Also lies in category math.KT