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March 29, 2026Journal of Lie theoryOpen Access

Multiplicative Lie Algebra Structures on the Semi-Direct Product of Groups

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The study aims to develop a method for identifying multiplicative Lie algebra structures on the semi-direct product of groups under specific conditions.
Introduced a systematic approach to classify multiplicative Lie algebra structures.
Analyzed the conditions required for the semi-direct product of groups.
Investigated the interdependence of multiplicative structures on individual groups.
Established that every multiplicative Lie algebra structure on the semi-direct product relies on the structures of the individual groups.
Numerous examples illustrate the application of the method in practice.

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Implication

This research demonstrates how multiplicative lie algebra structures are determined by their group components, suggesting a fundamental connection between them.

Cite This Study

Pal et al. (2025) studied this question.

synapsesocial.com/papers/69c8c115de0f0f753b39bafe https://doi.org/10.5802/jolt.1397

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Implication

This research demonstrates how multiplicative lie algebra structures are determined by their group components, suggesting a fundamental connection between them.

Multiplicative Lie Algebra Structures on the Semi-Direct Product of Groups

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Discussion

Implication

Cite This Study

Multiplicative Lie Algebra Structures on the Semi-Direct Product of Groups

Key Points

Discussion

Implication

Cite This Study

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