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Symmetric multilinear forms and polarization of polynomials

✍ Scribed by Aleš Drápal; Petr Vojtěchovský

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
229 KB
Volume
431
Category
Article
ISSN
0024-3795

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✦ Synopsis

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

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