---
tag: 054YEQ0Y8M
kind: concept
name: Sesquilinear form
msc: [15A63]
sources:
  - url: https://en.wikipedia.org/wiki/Sesquilinear_form
    locator: Complex vector spaces
same_as:
  wikidata: Q1931224
  wikipedia: Sesquilinear form
---

## Summary

A sesquilinear form on a complex vector space is a map of two vectors to the complex numbers.
It is linear in one argument and conjugate linear in the other.