On nonnegative invariant quartics in type A

dc.contributor.author	Debus, Sebastian
dc.contributor.author	Goel, Charu
dc.contributor.author	Kuhlmann, Salma
dc.contributor.author	Riener, Cordian Benedikt
dc.date.accessioned	2024-11-05T14:24:01Z
dc.date.available	2024-11-05T14:24:01Z
dc.date.issued	2024-10-09
dc.description.abstract	The equivariant nonnegativity versus sums of squares question has been solved for any infinite series of essential reflection groups but type <i>A</i>. As a first step to a classification, we analyse <i>A<sub>n</sub></i> -invariant quartics. We prove that the cones of invariant sums of squares and nonnegative forms are equal if and only if the number of variables is at most 3 or odd.	en_US
dc.identifier.citation	Debus, Goel, Kuhlmann, Riener. On nonnegative invariant quartics in type A. Journal of symbolic computation. 2024
dc.identifier.cristinID	FRIDAID 2311275
dc.identifier.doi	10.1016/j.jsc.2024.102393
dc.identifier.issn	0747-7171
dc.identifier.uri	https://hdl.handle.net/10037/35458
dc.language.iso	eng	en_US
dc.publisher	Elsevier	en_US
dc.relation.journal	Journal of symbolic computation
dc.relation.projectID	Tromsø forskningsstiftelse: 17MatteCR
dc.rights.holder	Copyright 2024 The Author(s)	en_US
dc.rights.uri	https://creativecommons.org/licenses/by/4.0	en_US
dc.rights	Attribution 4.0 International (CC BY 4.0)	en_US
dc.title	On nonnegative invariant quartics in type A	en_US
dc.type.version	publishedVersion	en_US
dc.type	Journal article	en_US
dc.type	Tidsskriftartikkel	en_US
dc.type	Peer reviewed	en_US

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