Gauge Field Theories

Abstract

We start from a finite-dimensional, semi-simple Lie group G, finite-dimensional, usually identified to one of its (simple) matrix representations; the Lie algebra of G is noted L(G), and if we impose that G be connected, L(G) “generates” G in the following sense: if A _g ∈ L(G) then $g = e^{A_g}\in G$.