A user friendly proof of Nagata's characterization of linearly reductive groups in positive characteristics

DOI10.1080/03081080903402939zbMath1222.20033OpenAlexW2073470952MaRDI QIDQ3082869

Martin Kohls

Publication date: 17 March 2011

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080903402939

zbMATH Keywords

linear algebraic groupslinearly reductive groupsfaithful finite dimensional modules

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)

Related Items (2)

Zero-Separating Invariants for Linear Algebraic Groups ⋮ Białynicki-Birula decomposition for reductive groups

Cites Work

• On the depth of invariant rings of infinite groups
• Non-Cohen-Macaulay invariant rings of infinite groups
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• A characterization of linearly reductive groups by their invariants

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