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. {{harvs|last=Dieudonné|last2=Carrell|year1=1970|loc=p. 31}}. It is named after J. P. Gram, who published it in 1874.

References

  • {{Citation | last1=Dieudonné | first1=Jean A. | authorlink1=Jean Dieudonné| last2=Carrell | first2=James B. | authorlink2=James B. Carrell | title=Invariant theory, old and new | doi=10.1016/0001-8708(70)90015-0 | doi-access=free |mr=0255525 | year=1970 | journal=Advances in Mathematics | issn=0001-8708 | volume=4 | pages=1–80}}. Reprinted by Academic Press (1971), {{MR|0279102}}.
  • {{citation

| last = Gram | first = J. P. | authorlink = Jørgen Pedersen Gram

| journal = Mathematische Annalen

| language = French

| pages = 230–240

| title = Sur quelques théorèmes fondamentaux de l'algèbre moderne

| url = http://eudml.org/doc/156639

| volume = 7

| year = 1874

| issue = 2–3 | doi=10.1007/bf02104801 | doi-access=free}}.

Category:Invariant theory

Category:Theorems in algebraic geometry

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