SEPARATING INVARIANTS FOR MULTISYMMETRIC POLYNOMIALS

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Author(s):	Lopatin, Artem ^[1] ; Reimers, Fabian ^[2] Total Authors: 2
Affiliation:	^[1] Univ Estadual Campinas, Dept Math, 651 Sergio Buarque Holanda, BR-13083859 Campinas, SP - Brazil ^[2] Tech Univ Munich, Dept Math, Zentrum Math M11, Boltzmannstr 3, D-85748 Garching - Germany Total Affiliations: 2
Document type:	Journal article
Source:	Proceedings of the American Mathematical Society; v. 149, n. 2, p. 497-508, FEB 2021.
Web of Science Citations:	0
Abstract
This article studies separating invariants for the ring of multisymmetric polynomials in m sets of n variables over an arbitrary field K. We prove that in order to obtain separating sets it is enough to consider polynomials that depend only on {[}n/2] + 1 sets of these variables. This improves a general result by Domokos about separating invariants. In addition, for n <= 4 we explicitly give minimal separating sets (with respect to inclusion) for all m in case char(K) = 0 or char(K) > n. (AU)

FAPESP's process:	19/10821-8 - Separating invariants of classical groups
Grantee:	Artem Lopatin
Support Opportunities:	Scholarships abroad - Research