Generic separation for modular invariants

Fuente: arXiv
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Autores principales: Reimers, Fabian, Sezer, Müfit
Formato: Preprint
Publicado: 2025
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author Reimers, Fabian
Sezer, Müfit
author_facet Reimers, Fabian
Sezer, Müfit
contents For modular indecomposable representations of a cyclic group $G$ of prime order $p$ we propose a list of polynomial invariants of degree $\leq 3$ that, together with a simple invariant of degree $p$, separate generic orbits and generate the field of rational invariants. A similar result is proven for decomposable representations of $G$.
format Preprint
id arxiv_https___arxiv_org_abs_2505_20895
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generic separation for modular invariants
Reimers, Fabian
Sezer, Müfit
Representation Theory
Commutative Algebra
13A50
For modular indecomposable representations of a cyclic group $G$ of prime order $p$ we propose a list of polynomial invariants of degree $\leq 3$ that, together with a simple invariant of degree $p$, separate generic orbits and generate the field of rational invariants. A similar result is proven for decomposable representations of $G$.
title Generic separation for modular invariants
topic Representation Theory
Commutative Algebra
13A50
url https://arxiv.org/abs/2505.20895