Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations

Symmetric Non-Negative Forms and Sums of Squares

(2020) Grigoriy Blekherman et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Vandermonde determinantal ideals

(2019) Junzo Watanabe et al.   MATHEMATICA SCANDINAVICA

On the Isotypic Decomposition of Cohomology Modules of Symmetric Semi-algebraic Sets: Polynomial Bounds on Multiplicities

(2018) Saugata Basu et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Equivariant Hilbert series in non-noetherian polynomial rings

(2017) Uwe Nagel et al.   JOURNAL OF ALGEBRA

Resultant of an equivariant polynomial system with respect to the symmetric group

(2016) Laurent Busé et al.   JOURNAL OF SYMBOLIC COMPUTATION

On the Choi–Lam analogue of Hilbert's 1888 theorem for symmetric forms

(2016) Charu Goel et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

On Vandermonde Varieties

(2016) Ralf Fröberg et al.   MATHEMATICA SCANDINAVICA

FI-modules and stability for representations of symmetric groups

(2015) Thomas Church et al.   DUKE MATHEMATICAL JOURNAL

Gröbner bases of symmetric ideals

(2013) Stefan Steidel   JOURNAL OF SYMBOLIC COMPUTATION

Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization

(2012) Cordian Riener et al.   MATHEMATICS OF OPERATIONS RESEARCH

On the degree and half-degree principle for symmetric polynomials

(2011) Cordian Riener   JOURNAL OF PURE AND APPLIED ALGEBRA