A characterization of linearly reductive groups by their invariants

DOI10.1007/BF01237180zbMath0943.13002MaRDI QIDQ1972293

Gregor Kemper

Publication date: 6 June 2000

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

linearly reductive algebraic groupCohen-Macaulayness of invariant ring

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Geometric invariant theory (14L24) Actions of groups on commutative rings; invariant theory (13A50) Cohen-Macaulay modules (13C14)

Related Items (8)

Rings of invariants of \(2\times 2\) matrices in positive characteristic ⋮ On the depth of invariant rings of infinite groups ⋮ Homotopy type and \(v_1\)-periodic homotopy groups of \(p\)-compact groups ⋮ The Cohen-Macaulay property of separating invariants of finite groups ⋮ Non-Cohen-Macaulay invariant rings of infinite groups ⋮ A user friendly proof of Nagata's characterization of linearly reductive groups in positive characteristics ⋮ Existence of slices on a tame context ⋮ Rings of matrix invariants in positive characteristic

Cites Work

• Reductive groups are geometrically reductive
• Lectures on introduction to moduli problems and orbit spaces
• On the Cohen-Macaulay property of modular invariant rings
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• Lectures on the fourteenth problem of Hilbert
• Geometric Invariant Theory
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• Equivariant affine line bundles and linearization
• Unnamed Item

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