---
title: "Canonizant"
chunk: 1/1
source: "https://en.wikipedia.org/wiki/Canonizant"
category: "reference"
tags: "science, encyclopedia"
date_saved: "2026-05-05T12:04:30.133740+00:00"
instance: "kb-cron"
---

In mathematical invariant theory, the canonizant or canonisant is a covariant of forms related to a canonical form for them.


== Canonizants of a binary form ==
The canonizant of a binary form of degree 2n – 1 is a covariant of degree n and order n, given by the catalecticant of the penultimate emanant, which is the determinant of the n by n Hankel matrix with entries ai+jx + ai+j+1y for 0 ≤ i,j < n.


== References ==
Elliott, Edwin Bailey (1913) [1895], An introduction to the algebra of quantics. (2nd ed.), Oxford. Clarendon Press, JFM 26.0135.01