Reflection groups and cones of sums of squares

نویسندگان

چکیده

We consider cones of real forms which are sums squares and invariant under a (finite) reflection group. Using the representation theory these groups we able to use symmetry inherent in give more efficient descriptions. focus especially on An, Bn, Dn case where so-called higher Specht polynomials uniform description cones. These descriptions allow us, deduce that fixed degree 2d stabilizes with n>2d. Furthermore, cases small degree, analyze explicitly compare them non-negative forms.

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ژورنال

عنوان ژورنال: Journal of Symbolic Computation

سال: 2023

ISSN: ['1095-855X', '0747-7171']

DOI: https://doi.org/10.1016/j.jsc.2023.03.001