Graded Poisson bracket (source code)

= Graded Poisson bracket

An even Poisson bracket on a space with commuting and anticommuting variables obeys $\{F,G\}=-(-1)^{|F||G|}\{G,F\}$ and the graded Leibniz rule. In particular the bracket of two odd functions is symmetric. Quantization turns the odd-odd bracket into an anticommutator.