Journal of Lie Theory

no. 2
Automorphisms of Multiplicative Lie Algebra Extensions
Journal of Lie Theory, Volume 35 (2025) no. 2, pp. 329-344
We discuss the inducibility problem for automorphisms of multiplicative Lie algebra extensions and show that obstruction to the inducibility of pairs of automorphisms 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.
DOI: 10.5802/jolt.1385
Classification: 17B40, 17B56, 18G50
Keywords: Automorphisms of multiplicative Lie algebras, cohomology group, exact sequences, split extensions 
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     author = {D. K. Singh and S. D. Kumar},
     title = {Automorphisms of {Multiplicative} {Lie} {Algebra} {Extensions}},
     journal = {Journal of Lie Theory},
     pages = {329--344},
     year = {2025},
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     number = {2},
     doi = {10.5802/jolt.1385},
     zbl = {08075074},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1385/}
}
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D. K. Singh; S. D. Kumar. Automorphisms of Multiplicative Lie Algebra Extensions. Journal of Lie Theory, Volume 35 (2025) no. 2, pp. 329-344. doi: 10.5802/jolt.1385

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