Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I need to find Cayley's formula for the number of linearly independent invariants of homogenous polynomials. This is a combinatorial formula. He is believed to have discovered it in 1854. Unfortunately I can't find it online and it is not available in any book that I know of. Note that this formula is different from the formula used for graphs.

Please help me!

share|cite|improve this question
This paper refers to Hilbert's "Theory of algebraic invariants" for 'the well-known Sylvester-Cayley formula', but I don't know whether that's what you're looking for. – Tara B May 11 '12 at 8:50
Also TA Springer's 'Invariant Theory' from this paper: – Drew Christianson May 11 '12 at 9:01
Furthermore this entry would seem to imply that the majority of Cayley's work on the topic was published in the ten 'Memoirs on Quantics' (which they mistakenly spell as quanties). Fortunately, all ten are available on JSTOR here. Based on the encyclopedia, the First or Second memoir seems the most likely source for the expression. – Drew Christianson May 11 '12 at 9:09

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.