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BRST Charge and Poisson Algebras
Discrete mathematics & theoretical computer science, Tome 1 (1997).

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An elementary introduction to the classical version of gauge theories is made. The shortcomings of the usual gauge fixing process are pointed out. They justify the need to replace it by a global symmetry: the BRST symmetry and its associated BRST charge. The main mathematical steps required to construct it are described. The algebra of constraints is, in general, a nonlinear Poisson algebra. In the nonlinear case the computation of the BRST charge by hand is hard. Itis explained how this computation can be made algorithmic. The main features of a recently created BRST computer algebra program are described. It can handle quadratic algebras very easily. Its capability to compute the BRST charge as a formal power series in the generic case of a cubic algebra is illustrated. 
@article{DMTCS_1997_1_a10,
     author = {Caprasse, H.},
     title = {BRST {Charge} and {Poisson} {Algebras}},
     journal = {Discrete mathematics & theoretical computer science},
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     year = {1997},
     doi = {10.46298/dmtcs.241},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.241/}
}
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Caprasse, H. BRST Charge and Poisson Algebras. Discrete mathematics & theoretical computer science, Tome 1 (1997). doi : 10.46298/dmtcs.241. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.241/

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