Jump to content

Nullform

From Wikipedia, the free encyclopedia
This is the current revision of this page, as edited by TheMathCat (talk | contribs) at 08:15, 8 October 2025 (doi-access=free for a reference + wikilcnks). The present address (URL) is a permanent link to this version.
(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

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).[1][2]

References

[edit]
  1. ^ Dieudonné, Jean A; Carrell, James B (February 1970). "Invariant theory, old and new". Advances in Mathematics. 4 (1): 1–80. doi:10.1016/0001-8708(70)90015-0.
  2. ^ Hilbert, David (September 1893). "Ueber die vollen Invariantensysteme". Mathematische Annalen (in German). 42 (3): 313–373. doi:10.1007/BF01444162. ISSN 0025-5831.