Separating invariants for multisymmetric polynomials

Lopatin, Artem; Reimers, Fabian

doi:10.1090/proc/15292

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2024

Publication Types

Select...

Article4

Other1

Relationship

Self Cite1

Independent4

Authors

Journals

Cited by 5 publications

(2 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Given m 0 < m, the notion of expansion of a set S ⊂ F[V m0 ] Sn to a set S [m] of F[V m ] Sn can be found for example in [19]. Denote by σ(n) the minimal number m 0 such that the expansion of some separating set S for F[V m0 ] Sn produces a separating set for F[V m ] Sn for all m ≥ m 0 .…”

mentioning

confidence: 99%

See 1 more Smart Citation

Separating invariants over finite fields

Kemper,

Lopatin,

Reimers

2020

Preprint

Self Cite

View full text Add to dashboard Cite

We determine the minimal number of separating invariants for the invariant ring of a matrix group G ≤ GLn(Fq) over the finite field Fq. We show that this minimal number can be obtained with invariants of degree at most |G|n(q − 1). In the non-modular case this construction can be improved to give invariants of degree at most n(q − 1).As examples we study separating invariants over the field F 2 for two important representations of the symmetric group.

show abstract

mentioning

confidence: 99%

“…Denote by σ(n) the minimal number m 0 such that the expansion of some separating set S for F[V m0 ] Sn produces a separating set for F[V m ] Sn for all m ≥ m 0 . In [19] it was proven that σ(n) ≤ ⌊ n 2 ⌋ + 1 over an arbitrary field F.…”

mentioning

confidence: 99%