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Separating invariants for arbitrary linear actions of the additive group

✍ Scribed by Emilie Dufresne, Jonathan Elmer, Müfit Sezer

Book ID
120759575
Publisher
Springer
Year
2013
Tongue
English
Weight
229 KB
Volume
143
Category
Article
ISSN
0025-2611

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The Hit Problem for the Modular Invarian
The Hit Problem for the Modular Invariants of Linear Groups
✍ Nguyen H.V Hu·ng; Tran Ngoc Nam 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 176 KB

Let the mod 2 Steenrod algebra, , and the general linear group, GL k = GL k 2 , act on P k = 2 x 1 x k with deg x i = 1 in the usual manner. We prove that, for a family of some rather small subgroups G of GL k , every element of positive degree in the invariant algebra P G k is hit by in P k . In ot