The Automorphism Group of Certain Higher Degree Forms

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
Title changed. Final version, to appear in appear in Journal of Pure and Applied Algebra

Keywords

Representation Theory, 11E76;17B68

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/170141

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703605
 http://arxiv.org/abs/math/0703605

Collections

arXiv