Symmetric function: Difference between revisions

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== Symmetrization ==

{{main|Symmetrization}}

Given any function f in ''n'' variables with values in an abelian group, it can be made into a symmetric function by averagingsumming it over all permutations of the arguments. Similarly, it can be made into an anti-symmetric function by averagingsumming over [[even permutation]]s and subtracting the averagesum over [[odd permutation]]s.

== Applications ==