Degree bounds for modular covariants

Article

Elmer, J. and Sezer, M. 2020. Degree bounds for modular covariants. Forum Mathematicum. 32 (4), pp. 905-910. https://doi.org/10.1515/forum-2019-0196
TypeArticle
TitleDegree bounds for modular covariants
AuthorsElmer, J. and Sezer, M.
Abstract

Let V,W be representations of a cyclic group G of prime order p over a field k of characteristic p. The module of covariants k[V,W]^G is the set of G-equivariant polynomial maps from V to W, and is a module over the algebra of invariants k[V]^G. We give a formula for the Noether bound of k[V,W]^G over k[V]^G, i.e. the minimal degree d such that k[V,W]^G is generated over k[V]^G by elements of degree at most d.

KeywordsInvariant theory; modular representation; cyclic group; module of covariants; Noether bound
PublisherDe Gruyter
JournalForum Mathematicum
ISSN0933-7741
Electronic1435-5337
Publication dates
Online20 Mar 2020
Print01 Jul 2020
Publication process dates
Deposited24 Feb 2020
Accepted09 Feb 2020
Submitted25 Jul 2019
Output statusPublished
Publisher's version
File Access Level
Open
Accepted author manuscript
File Access Level
Restricted
Copyright Statement

© 2020 Walter de Gruyter GmbH, Berlin/Boston.
The published manuscript is made available in this repository after a 12 month embargo in accordance with the publisher's policy - https://www.degruyter.com/page/repository-policy

Digital Object Identifier (DOI)https://doi.org/10.1515/forum-2019-0196
Web of Science identifierWOS:000544194200003
LanguageEnglish
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