Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On the isotropic group of a homogeneous polynomial

Author: Siu Ming Ho
Journal: Trans. Amer. Math. Soc. 183 (1973), 495-498
MSC: Primary 53C10
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.

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Keywords: G-structure, prolongation
Article copyright: © Copyright 1973 American Mathematical Society