Editing Poisson algebra (section)

===Associative algebras===
If ''A'' is an [[associative algebra]], then imposing the commutator [''x'', ''y''] = ''xy'' &minus; ''yx'' turns it into a Poisson algebra (and thus, also a Lie algebra) ''A''<sub>''L''</sub>. Note that the resulting ''A''<sub>''L''</sub> should not be confused with the tensor algebra construction described in the previous section. If one wished, one could also apply that construction as well, but that would give a different Poisson algebra, one that would be much larger.