# Invariant theory

mathematical study of invariants under symmetries

**Invariant theory** is a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions.

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## Quotes

edit- The theory of invariants came into existence about the middle of the nineteenth century somewhat like Minerva: a grown-up virgin, mailed in the shining armor of algebra, she sprang forth from Cayley's Jovian head.
- Weyl, Hermann (1939b), "Invariants",
*Duke Mathematical Journal***5**(3): 489–502, doi: , ISSN 0012-7094, p.489

- Weyl, Hermann (1939b), "Invariants",

- Like the Arabian phoenix rising out of its ashes, the theory of invariants, pronounced dead at the turn of the century, is once again at the forefront of mathematics.
- Kung, Joseph P. S.; Rota, Gian-Carlo (1984), "The invariant theory of binary forms",
*American Mathematical Society. Bulletin. New Series***10**(1): 27–85, doi: , ISSN 0002-9904, p.27

- Kung, Joseph P. S.; Rota, Gian-Carlo (1984), "The invariant theory of binary forms",