---
tag: B1FJXP4WAG
kind: statement
role: proposition
name: Gamas's theorem
sources:
  - wikipedia: en:70302266@r1210241650
    locator: Gamas's theorem
    note: adopted
    mention: wikipedia://en/70302266
    sections: [Statement]
same_as:
  wikidata: Q112659261
  wikipedia: Gamas's theorem
inventory: [YX6KFJDYAB]
---

## Statement

**Gamas's theorem** is a result in multilinear algebra which states the necessary and sufficient conditions for a tensor symmetrized by an irreducible representation of the symmetric group $S_n$ to be zero. It was proven in 1988 by Carlos Gamas. Additional proofs have been given by Pate and Berget.