Citation
P. Revoy et S. Tesser, LINEARIZATIONS OF POLYNOMIAL FORMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(6), 1994, pp. 509-514
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
07644442
Volume
318
Issue
6
Year of publication
1994
Pages
509 - 514
Database
ISI
SICI code
0764-4442(1994)318:6<509:LOPF>2.0.ZU;2-V
Abstract
The category of finite dimensional linearizations (or representations)
of homogeneous polynomials is not well known, except for quadratics a
nd binary cubics. As it is equivalent to the study of subvectorspaces
of matrix algebras all elements of which have their d power equal to a
scalar, we study 3-dimensional representations of ternary and quatern
ary cubics and we obtain another proof of a result of Van den Bergh.