Lie 1888: vector space g with bilinear bracket [·,·] satisfying anti-symmetry + Jacobi identity. Tangent space at identity of Lie group. Killing form B(X,Y) = tr(ad X · ad Y) characterises semisimplicity. Backbone of representation…
Lie 1888: vector space g with bilinear bracket [·,·] satisfying anti-symmetry + Jacobi identity. Tangent space at identity of Lie group. Killing form B(X,Y) = tr(ad X · ad Y) characterises semisimplicity. Backbone of representation…