The Stabilizer of Elementary Symmetric Polynomials
Commutative Algebra
2016-07-29 v1 Rings and Algebras
Abstract
We study the r-th elementary symmetric polynomial in variables with 2<r<n. There are two kinds of linear transformations on the parameter space that leave this polynomial invariant: Namely, any permutation of the variables and simultaneous scaling by any r-th root of unity. We prove that there are no other linear transformations with this property.
Cite
@article{arxiv.1607.08419,
title = {The Stabilizer of Elementary Symmetric Polynomials},
author = {Jesko Hüttenhain},
journal= {arXiv preprint arXiv:1607.08419},
year = {2016}
}