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Transactions of the American Mathematical Society

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On the isotropic group of a homogeneous polynomial


Author: Siu Ming Ho
Journal: Trans. Amer. Math. Soc. 183 (1973), 495-498
MSC: Primary 53C10
DOI: https://doi.org/10.1090/S0002-9947-1973-0338987-6
MathSciNet review: 0338987
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Abstract: Let G be the linear group leaving a homogeneous polynomial of degree k fixed. The author shows that either the polynomial is a polynomial in fewer than the assigned number of variables or that the $ (k - 1)$st prolongation of G is 0. The author also shows that this result is optimal.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9947-1973-0338987-6
Keywords: G-structure, prolongation
Article copyright: © Copyright 1973 American Mathematical Society

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