differentiable groups
[dɪf.ə.ˈren.ʃə.bəl gruːps]
nounpl: differentiable groups
grupos diferenciáveis
1. In mathematics, groups equipped with a smooth manifold structure such that the group operations (multiplication and inversion) are smooth (infinitely differentiable) maps
Lie groups are the most important examples of differentiable groups in modern mathematics.
Os grupos de Lie são os exemplos mais importantes de grupos diferenciáveis na matemática moderna.
2. Mathematical structures that combine algebraic properties of groups with differential geometric properties
The study of differentiable groups bridges algebra and differential geometry.
O estudo de grupos diferenciáveis conecta álgebra e geometria diferencial.
This is a specialized mathematical term used primarily in academic and research contexts. It is equally used in Brazilian Portuguese and European Portuguese mathematical communities. The term represents advanced mathematical knowledge typically encountered in graduate-level mathematics courses in differential geometry and abstract algebra.
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