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The Automorphism Group of Certain Higher Degree Forms

M. O'Ryan·S. Ryom-Hansen
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Abstract

We consider symmetric d-linear forms of dimension n over an algebraically closed field k of characteristic 0. The "center" of a form is the analogous of the space of symmetric matrices of a bilinear form. For d>2 the center is a commutative subalgebra of $\mathbf{M}_n(k)$. The automorphism group of the form acts naturally on the center. We give a description of this group via this action.

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BibTeXRIS

M. O'Ryan, S. Ryom-Hansen. 2008-09-29. The Automorphism Group of Certain Higher Degree Forms. https://arxiv.org/abs/math/0703605

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