SEPARATING INVARIANTS FOR MULTISYMMETRIC POLYNOMIALS

Autor(es)

Lopatin, Artem ^[1] ; Reimers, Fabian ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Proceedings of the American Mathematical Society; v. 149, n. 2, p. 497-508, FEB 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 19/10821-8 - Invariantes separados de grupos clássicos
• Beneficiário: Artem Lopatin
• Modalidade de apoio: Bolsas no Exterior - Pesquisa