... > topology > algebraic topology > manifold > differentiable manifold > Lie group > fundamental representation

... > geometry > topological space > manifold > differentiable manifold > Lie group > fundamental representation

geometry > differential geometry > differentiable manifold > Lie group > fundamental representation

topology > differential topology > differentiable manifold > Lie group > fundamental representation

algebra > group theory > topological group > Lie group > fundamental representation

algebra > representation theory > group representation > fundamental representation