English

Symmetric multilinear forms and polarization of polynomials

Number Theory 2015-09-21 v1

Abstract

We study a generalization of the classical correspondence between homogeneous quadratic polynomials, quadratic forms, and symmetric/alternating bilinear forms to forms in nn variables. The main tool is combinatorial polarization, and the approach is applicable even when n!n! is not invertible in the underlying field.

Keywords

Cite

@article{arxiv.1509.05707,
  title  = {Symmetric multilinear forms and polarization of polynomials},
  author = {Aleš Drápal and Petr Vojtěchovský},
  journal= {arXiv preprint arXiv:1509.05707},
  year   = {2015}
}
R2 v1 2026-06-22T11:00:02.861Z