An introduction to the BatalinVilkovisky formalism
Abstract
The aim of these notes is to introduce the quantum master equation $\{S,S\}2i\hbar\Delta S=0$, 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 finitedimensional examples will be considered.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2004
 arXiv:
 arXiv:math/0402057
 Bibcode:
 2004math......2057F
 Keywords:

 Mathematics  Quantum Algebra;
 81T70
 EPrint:
 19 pages. Lecture given at the "Rencontres Mathematiques de Glanon", July 2003. Final version. Minor corrections