NDLI: Degree bounds for modular covariants

Content Provider	Scilit
Author	Elmer, Jonathan Sezer, Müfit
Copyright Year	2020
Abstract	Let {V,W} be representations of a cyclic group G of prime order p over a field {\Bbbk} of characteristic p. The module of covariants {\Bbbk[V,W]^{G}} is the set of G-equivariant polynomial maps {V\rightarrow W} , and is a module over {\Bbbk[V]^{G}} . We give a formula for the Noether bound {\beta(\Bbbk[V,W]^{G},\Bbbk[V]^{G})} , i.e. the minimal degree d such that {\Bbbk[V,W]^{G}} is generated over {\Bbbk[V]^{G}} by elements of degree at most d.
Related Links	http://arxiv.org/pdf/2001.08052 http://www.degruyter.com/downloadpdf/j/form.ahead-of-print/forum-2019-0196/forum-2019-0196.xml
Ending Page	910
Page Count	6
Starting Page	905
ISSN	09337741
e-ISSN	14355337
DOI	10.1515/forum-2019-0196
Journal	Forum Mathematicum
Issue Number	4
Volume Number	32
Language	English
Publisher	Walter de Gruyter GmbH
Publisher Date	2020-03-20
Access Restriction	Open
Subject Keyword	Forum Mathematicum Logic Invariant Theory Modular Representation Cyclic Group Module of Covariants Noether Bound Journal: Forum Mathematicum, Vol- 32
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Degree bounds for modular covariants