Degree bounds for modular covariants

Elmer, Jonathan ORCID: https://orcid.org/0000-0001-5296-1987 and Sezer, Mufit (2020) Degree bounds for modular covariants. Forum Mathematicum, 32 (4) . pp. 905-910. ISSN 0933-7741 [Article] (doi:10.1515/forum-2019-0196)

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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.

Item Type: Article
Keywords (uncontrolled): Applied Mathematics, General Mathematics
Research Areas: A. > School of Science and Technology > Design Engineering and Mathematics
Item ID: 29163
Notes on copyright: © 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
Useful Links:
Depositing User: Jonathan Elmer
Date Deposited: 24 Feb 2020 15:39
Last Modified: 22 Oct 2020 00:53
URI: https://eprints.mdx.ac.uk/id/eprint/29163

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