Geodesic
On the Centre of Crossed Modules of Lie Algebras
Mariam Pirashvili1
1Dept. Mathematical Sciences, University of Plymouth, United Kingdom
Journal of Lie Theory, Tome 35 (2025) no. 2, pp. 359-375

Voir la notice de l'article provenant de la source Heldermann Verlag

This paper studies the relationship between crossed modules of Lie algebras and their centres. We show that the homotopy of the centre of any crossed module \(\partial : L_1\to L_0\) of Lie algebras fits in an exact sequence involving cohomology of the homotopy Lie algebras \(\pi_0(L_*)\) and \(\pi_1(L_*)\).
Classification : 18G45, 17B55
Mots-clés : Crossed modules, Lie algebra cohomology, Drinfeld centre

Mariam Pirashvili  1

1 Dept. Mathematical Sciences, University of Plymouth, United Kingdom 
Mariam Pirashvili. On the Centre of Crossed Modules of Lie Algebras. Journal of Lie Theory, Tome 35 (2025) no. 2, pp. 359-375. http://geodesic.mathdoc.fr/item/JOLT_2025_35_2_a5/
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     title = {On the {Centre} of {Crossed} {Modules} of {Lie} {Algebras}},
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