Refinement of Ado's Theorem in Low Dimensions and Application in Affine Geometry
Refinement of Ado's Theorem in Low Dimensions and Application in Affine Geometry
In this article, we construct a faithful representation with the lowest dimension for every complex Lie algebra in dimension ≤ 4. In particular, in our construction, in the case that the faithful representation has the same dimension of the Lie algebra, it can induce an étale affine representation with base …