The Automorphism Group of Certain Higher Degree Forms
Representation Theory
2008-09-29 v2
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 . The automorphism group of the form acts naturally on the center. We give a description of this group via this action.
Cite
@article{arxiv.math/0703605,
title = {The Automorphism Group of Certain Higher Degree Forms},
author = {M. O'Ryan and S. Ryom-Hansen},
journal= {arXiv preprint arXiv:math/0703605},
year = {2008}
}
Comments
Title changed. Final version, to appear in appear in Journal of Pure and Applied Algebra