# BRST cohomology definition

Is there written anywhere a full definition of BRST cohomology? All I have found so far is BRST cohomology in _______. As far as I can see, BRST cohomology is the cohomology of a complex in which the differential has at least a piece that "looks like" the Chevalley Eilenberg differential.

That seems to include all known examples, but is hardly a precise definition.

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Hi Jim. Alas, there was a time when in the Physics literature every differential complex was called a BRST complex :( Which BRST cohomology are you interested in? The original of Becchi, Rouet, Stora and Tyutin? –  José Figueroa-O'Farrill May 7 '13 at 21:23
What exactly is _______? :-) –  Mariano Suárez-Alvarez Jul 22 '13 at 1:41