Invariant theory

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. Quotes 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 Hermann Weyl Invariants http://projecteuclid.org/euclid.dmj/1077491405 1939b Duke Mathematical Journal 0012-7094 5 489–502 0000030 10.1215/S0012-7094-39-00540-5 3, p.489 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 The invariant theory of binary forms http://www.ams.org/journals/bull/1984-10-01/S0273-0979-1984-15188-7 10.1090/S0273-0979-1984-15188-7 1984 American Mathematical Society. Bulletin. New Series 0002-9904 10 1 27–85 722856, p.27 External links Category:Mathematics