On Noether's and Weyl's bound in positive characteristic

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dc.creatorKnop, Friedrich
dc.date2002-07-22
dc.date2003-10-07
dc.date.accessioned2026-07-07T04:49:47Z
dc.date.available2026-07-07T04:49:47Z
dc.descriptionIn this note we generalize several well known results concerning invariants of finite groups from characteristic zero to positive characteristic not dividing the group order. The first is Schmid's relative version of Noether's theorem. That theorem compares the degrees of generators of a group with those of a subgroup. Then we prove a suitable positive characteristic version of Weyl's theorem on vector invariants: polarization works in small degrees. Using that we show that the regular representation has the "most general" ring of invariants, thereby generalizing theorems of Schmid and Smith.
dc.description16 pages, v2: minor changes, final version
dc.identifierhttps://arxiv.org/abs/math/0207194
dc.identifierhttp://arxiv.org/abs/math/0207194
dc.identifierInvariant theory in all characteristics, 175-188, CRM Proc. Lecture Notes, 35, Amer. Math. Soc., Providence, RI, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64558
dc.subjectRepresentation Theory
dc.subjectCommutative Algebra
dc.subject13A50
dc.titleOn Noether's and Weyl's bound in positive characteristic
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