Gram's theorem

In mathematics, Gram's theorem states that an algebraic set in a finite-dimensional vector space invariant under some linear group can be defined by absolute invariants. (Dieudonné & Carrell 1970, p. 31). It is named after J. P. Gram, who published it in 1874.

References

• Dieudonné, Jean A.; Carrell, James B. (1970), "Invariant theory, old and new", Advances in Mathematics, 4: 1–80, doi:10.1016/0001-8708(70)90015-0, ISSN 0001-8708, MR 0255525. Reprinted by Academic Press (1971), MR0279102.
• Gram, J. P. (1874), "Sur quelques théorèmes fondamentaux de l'algèbre moderne", Mathematische Annalen (in French), 7 (2–3): 230–240, doi:10.1007/bf02104801.