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.
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Department of Mathematics, Motilal Nehru National Inst. of Technology, Allahabad, Prayagraj, India
Dev Karan Singh; Shiv Datt Kumar. Automorphisms of Multiplicative Lie Algebra Extensions. Journal of Lie Theory, Tome 35 (2025) no. 2, pp. 329-344. http://geodesic.mathdoc.fr/item/JOLT_2025_35_2_a3/
@article{JOLT_2025_35_2_a3,
author = {Dev Karan Singh and Shiv Datt Kumar},
title = {Automorphisms of {Multiplicative} {Lie} {Algebra} {Extensions}},
journal = {Journal of Lie Theory},
pages = {329--344},
year = {2025},
volume = {35},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2025_35_2_a3/}
}
TY - JOUR
AU - Dev Karan Singh
AU - Shiv Datt Kumar
TI - Automorphisms of Multiplicative Lie Algebra Extensions
JO - Journal of Lie Theory
PY - 2025
SP - 329
EP - 344
VL - 35
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2025_35_2_a3/
ID - JOLT_2025_35_2_a3
ER -
%0 Journal Article
%A Dev Karan Singh
%A Shiv Datt Kumar
%T Automorphisms of Multiplicative Lie Algebra Extensions
%J Journal of Lie Theory
%D 2025
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%V 35
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2025_35_2_a3/
%F JOLT_2025_35_2_a3
