---
tag: 0MDMZ965VE
kind: concept
name: Exterior algebra
aliases: [grassmann-algebra]
msc: [15A75]
sources:
  - url: https://en.wikipedia.org/wiki/Exterior_algebra
    locator: Formal definition
same_as:
  wikidata: Q1196652
  wikipedia: Exterior algebra
---

## Summary

The exterior algebra of a vector space is the associative algebra generated by the space in which the square of every vector is zero.