Symmetric function: Difference between revisions

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Symmetrization: not possible in gerenal, so added the assumption that the function has values in an abelian group
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== Symmetrization ==
{{main|Symmetrization}}
Given any function f in ''n'' variables, <math>f(x_1,\dots,x_n)with values in an abelian group,</math> it can be made into a symmetric function by averaging over permutations. Similarly, it can be made into an anti-symmetric function by averaging over [[even permutation]]s and subtracting the average over [[odd permutation]]s.
 
== Applications ==