Geodesic
Multiplicative Lie Algebra Structures on the Semi-Direct Product of Groups
Deepak Pal1 ; Amit Kumar1 ; Sumit Kumar Upadhyay1 ; Seema Kushwaha1
1Indian Institute of Information Technology Allahabad, Prayagraj, India
Journal of Lie Theory, Tome 35 (2025) no. 3, pp. 573-582

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

We give a method to determine the multiplicative Lie algebra structures on the semi-direct product of groups under certain conditions. Consequently, we see that every multiplicative Lie algebra structure on the semi-direct product of two groups is completely determined by multiplicative Lie algebra structures on them.
Classification : 20D40, 20E34
Mots-clés : Multiplicative Lie algebra, direct product, semi-direct product

Deepak Pal  1   ; Amit Kumar  1   ; Sumit Kumar Upadhyay  1   ; Seema Kushwaha  1

1 Indian Institute of Information Technology Allahabad, Prayagraj, India 
Deepak Pal; Amit Kumar; Sumit Kumar Upadhyay; Seema Kushwaha. Multiplicative Lie Algebra Structures on the Semi-Direct Product of Groups. Journal of Lie Theory, Tome 35 (2025) no. 3, pp. 573-582. http://geodesic.mathdoc.fr/item/JOLT_2025_35_3_a5/
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     pages = {573--582},
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