2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70057The aim of these notes is to introduce the quantum master equation $\{S,S\}-2i\hbarΔS=0$, and to show its relations to the theory of Lie algebras representations and to perturbative expansions of Gaussian integrals. The relations of the classical master equation $\{S,S\}=0$ with the BRST formalisms are also described. Being an introduction, only finite-dimensional examples will be considered.19 pages. Lecture given at the "Rencontres Mathematiques de Glanon", July 2003. Final version. Minor correctionsQuantum Algebra81T70text