Journal of Lie Theory

no. 3
Multiplicative Lie Algebra Structures on the Semi-Direct Product of Groups
Journal of Lie Theory, Volume 35 (2025) no. 3, pp. 573-582
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.
DOI: 10.5802/jolt.1397
Classification: 20D40, 20E34
Keywords: Multiplicative Lie algebra, direct product, semi-direct product 
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     author = {D. Pal and A. Kumar and S. K. Upadhyay and S. Kushwaha},
     title = {Multiplicative {Lie} {Algebra} {Structures} on the {Semi-Direct} {Product} of {Groups}},
     journal = {Journal of Lie Theory},
     pages = {573--582},
     year = {2025},
     volume = {35},
     number = {3},
     doi = {10.5802/jolt.1397},
     zbl = {08103102},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1397/}
}
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D. Pal; A. Kumar; S. K. Upadhyay; S. Kushwaha. Multiplicative Lie Algebra Structures on the Semi-Direct Product of Groups. Journal of Lie Theory, Volume 35 (2025) no. 3, pp. 573-582. doi: 10.5802/jolt.1397

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