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transvectant : ウィキペディア英語版
transvectant
In mathematical invariant theory, a transvectant is an invariant formed from ''n'' invariants in ''n'' variables using Cayley's Ω process.
==Definition==

If ''Q''1,...,''Q''''n'' are functions of ''n'' variables x = (''x''1,...,''x''''n'') and ''r'' ≥ 0 is an integer then the ''r''th transvectant of these functions is a function of ''n'' variables given by
: tr \Omega^r(Q_1\otimes\cdots \otimes Q_n)
where Ω is Cayley's Ω process, the tensor product means take a product of functions with different variables x1,..., x''n'', and tr means set all the vectors x''k'' equal.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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