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- Cayley's_Ω_process abstract "In mathematics, Cayley's Ω process, introduced by Arthur Cayley (1846), is a relatively invariant differential operator on the general linear group, that is used to construct invariants of a group action.As a partial differential operator acting on functions of n2 variables xij, the omega operator is given by the determinantFor binary forms f in x1, y1 and g in x2, y2 the Ω operator is . The r-fold Ω process Ωr(f, g) on two forms f and g in the variables x and y is then Convert f to a form in x1, y1 and g to a form in x2, y2 Apply the Ω operator r times to the function fg, that is, f times g in these four variables Substitute x for x1 and x2, y for y1 and y2 in the resultThe result of the r-fold Ω process Ωr(f, g) on the two forms f and g is also called the r-th transvectant and is commonly written (f, g)r.".
- Cayley's_Ω_process wikiPageID "22081483".
- Cayley's_Ω_process wikiPageRevisionID "599029089".
- Cayley's_Ω_process authorlink "Arthur Cayley".
- Cayley's_Ω_process first "Arthur".
- Cayley's_Ω_process last "Cayley".
- Cayley's_Ω_process year "1846".
- Cayley's_Ω_process subject Category:Invariant_theory.
- Cayley's_Ω_process comment "In mathematics, Cayley's Ω process, introduced by Arthur Cayley (1846), is a relatively invariant differential operator on the general linear group, that is used to construct invariants of a group action.As a partial differential operator acting on functions of n2 variables xij, the omega operator is given by the determinantFor binary forms f in x1, y1 and g in x2, y2 the Ω operator is .".
- Cayley's_Ω_process label "Cayley's Ω process".
- Cayley's_Ω_process sameAs Cayley's_%CE%A9_process.
- Cayley's_Ω_process sameAs Q5055319.
- Cayley's_Ω_process sameAs Q5055319.
- Cayley's_Ω_process wasDerivedFrom Cayley's_Ω_process?oldid=599029089.