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
LanguageEnglish
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
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
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https://repository.mdx.ac.uk/item/88wy7

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