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- Perpetuant abstract "In mathematical invariant theory, a perpetuant is informally an irreducible covariant of a form or infinite degree. More precisely, the dimension of the space of irreducible covariants of given degree and weight for a binary form stabilizes provided the degree of the form is larger than the weight of the covariant, and the elements of this space are called perpetuants. Perpetuants were introduced and named by Sylvester (1882, p.105). MacMahon (1884, 1885, 1894) and Stroh (1888) classified the perpetuants. Elliott (1907) describes the early history of perpetuants and gives an annotated bibliography. There are very few papers after about 1910 discussing perpetuants; (Littlewood 1944) is one of the few exceptions.MacMahon conjectured and Stroh proved that the dimension of the space of perpetuants of degree n>2 and weight w is the coefficient of xw of For n=1 there is just one perpetuant, of weight 0, and for n=2 the number is given by the coefficient of xw of x2/(1-x2).".
- Perpetuant wikiPageExternalLink algebraofinvaria00graciala.
- Perpetuant wikiPageExternalLink introductiontoal00elliiala.
- Perpetuant wikiPageExternalLink books?id=a7xLAAAAYAAJ&pg=PA228.
- Perpetuant wikiPageExternalLink BF01444111.
- Perpetuant wikiPageExternalLink 2369271.
- Perpetuant wikiPageExternalLink 2369456.
- Perpetuant wikiPageExternalLink 2369457.
- Perpetuant wikiPageExternalLink 2369536.
- Perpetuant wikiPageExternalLink 91389.
- Perpetuant wikiPageID "35698290".
- Perpetuant wikiPageRevisionID "490486210".
- Perpetuant hasPhotoCollection Perpetuant.
- Perpetuant last "MacMahon".
- Perpetuant year "1884".
- Perpetuant year "1885".
- Perpetuant year "1894".
- Perpetuant subject Category:Invariant_theory.
- Perpetuant comment "In mathematical invariant theory, a perpetuant is informally an irreducible covariant of a form or infinite degree. More precisely, the dimension of the space of irreducible covariants of given degree and weight for a binary form stabilizes provided the degree of the form is larger than the weight of the covariant, and the elements of this space are called perpetuants. Perpetuants were introduced and named by Sylvester (1882, p.105).".
- Perpetuant label "Perpetuant".
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- Perpetuant sameAs Q7169557.
- Perpetuant sameAs Q7169557.
- Perpetuant wasDerivedFrom Perpetuant?oldid=490486210.
- Perpetuant isPrimaryTopicOf Perpetuant.