Reflection groups and cones of sums of squares
Permanent link
https://hdl.handle.net/10037/30616Date
2023-03-15Type
Journal articleTidsskriftartikkel
Peer reviewed
Abstract
We consider cones of real forms which are sums of squares and invariant under a (finite) reflection group. Using the representation theory of these groups we are able to use the symmetry inherent in these cones to give more efficient descriptions. We focus especially on the An, Bn and Dn case where we use so-called higher Specht polynomials to give a uniform description of these cones. These descriptions allow us, to deduce that the description of the cones of sums of squares of fixed degree 2d stabilizes with. Furthermore, in cases of small degree, we are able to analyze these cones more explicitly and compare them to the cones of non-negative forms.
Publisher
ElsevierCitation
Riener, Debus. Reflection groups and cones of sums of squares. Journal of symbolic computation. 2023;119:112-144Metadata
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