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Nullform

From Wikipedia, the free encyclopedia

In mathematics, a nullform of a vector space acted on linearly by a group is a vector on which all invariants of the group vanish. Nullforms were introduced by Hilbert (1893). (Dieudonné & Carrell 1970, 1971, p.57).

References

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  • 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
  • Dieudonné, Jean A.; Carrell, James B. (1971), Invariant theory, old and new, Boston, MA: Academic Press, doi:10.1016/0001-8708(70)90015-0, ISBN 978-0-12-215540-6, MR 0279102
  • Hilbert, David (1893), "Ueber die vollen Invariantensysteme", Mathematische Annalen, 42 (3), Springer Berlin / Heidelberg: 313–373, doi:10.1007/BF01444162, ISSN 0025-5831