Show simple item record

dc.contributor.authorRiener, Cordian
dc.contributor.authorDebus, Sebastian
dc.date.accessioned2023-09-01T09:23:01Z
dc.date.available2023-09-01T09:23:01Z
dc.date.issued2023-03-15
dc.description.abstractWe 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 <i>A</i><sub>n</sub>, <i>B</i><sub>n</sub> and <i>D</i><sub>n</sub> 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.en_US
dc.identifier.citationRiener, Debus. Reflection groups and cones of sums of squares. Journal of symbolic computation. 2023;119:112-144en_US
dc.identifier.cristinIDFRIDAID 2139597
dc.identifier.doi10.1016/j.jsc.2023.03.001
dc.identifier.issn0747-7171
dc.identifier.urihttps://hdl.handle.net/10037/30616
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.journalJournal of symbolic computation
dc.relation.projectIDEC/H2020: 81321en_US
dc.relation.projectIDTromsø forskningsstiftelse: 17matteCRen_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/813211/Norway/Polynomial Optimization, Efficiency through Moments and Algebra/POEMA/en_US
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2023 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.subjectVDP::Matematikk og naturvitenskap: 400::Matematikk: 410en_US
dc.subjectVDP::Mathematics and natural scienses: 400::Mathematics: 410en_US
dc.titleReflection groups and cones of sums of squaresen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


File(s) in this item

Thumbnail

This item appears in the following collection(s)

Show simple item record

Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)