Subjacent Manifold whose Lie Algebra is of Analytic and 
Invariant Vector Fields under Left Translations

Francisco Bulnes

doi:https://doi.org/10.14445/22315373/IJMTT-V71I4P104

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 4 | Year 2025 | Article Id. IJMTT-V71I4P104 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I4P104

Subjacent Manifold whose Lie Algebra is of Analytic and Invariant Vector Fields under Left Translations

Francisco Bulnes

Received	Revised	Accepted	Published
27 Feb 2025	30 Mar 2025	16 Apr 2025	30 Apr 2025

Abstract

The study of the Lie algebra of invariant analytic fields under left translations leads us to establish that the dimension of the subjacent manifold of the analytic group whose Lie algebra has immersed a Lie algebra of invariant analytic fields under left translations is finite and is equal to the dimension of the analytic group. This will be demonstrated punctually and with precision.

Keywords

Analytic Group, Analytic and Invariant Vector Fields, Left Translations, Lie Algebra, Lie Group.

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Citation :

Francisco Bulnes, "Subjacent Manifold whose Lie Algebra is of Analytic and Invariant Vector Fields under Left Translations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 4, pp. 27-36, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I4P104