---
tag: M52E9YXJ3X
kind: concept
name: Symmetrization
aliases: [anti-symmetrization, symmetric-map, symmetrisation]
sources:
  - wikipedia: en:8227451@r1209262438
    locator: Symmetrization
    note: adopted
    mention: wikipedia://en/8227451
    sections: [Summary]
same_as:
  wikidata: Q3507967
  wikipedia: Symmetrization
inventory: [MBMAC2MQGY]
---

## Summary

In mathematics, **symmetrization** is a process that converts any [[function|0EPAT51DXQ]] in $n$ variables to a symmetric function in $n$ variables. Similarly, **antisymmetrization** converts any function in $n$ variables into an [[antisymmetric|01MGYYBB9R]] function.