---
tag: CM7G55S31F
kind: concept
name: Pure spinor
aliases: [projective-pure-spinor, simple-spinor]
sources:
  - wikipedia: en:6843863@r1352199145
    locator: Pure spinor
    note: adopted
    mention: wikipedia://en/6843863
    sections: [Summary]
same_as:
  wikidata: Q7261160
  wikipedia: Pure spinor
inventory: [VP992D8ZFT]
---

## Summary

In the domain of mathematics known as representation theory, **pure spinors** (or **simple spinors**) are spinors that are annihilated, under the Clifford algebra representation, by a maximal isotropic subspace of a vector space $V$ with respect to a scalar product $Q$. They were introduced by Élie Cartan in the 1930s and further developed by Claude Chevalley.