Invariant subrings under the action by a finite group generated by pseudo-reflections

zbMath0407.13017MaRDI QIDQ1257931

Shiro Goto

Publication date: 1978

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cohen-MacaulayGorensteinAutomorphism GroupComplete IntersectionRegular Local RingPseudo- Reflection

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Geometric invariant theory (14L24) Complete intersections (14M10) Regular local rings (13H05)

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The type of the invariants of a finite pseudo-reflection group acting on a local Cohen-Macaulay ring ⋮ The quadratic complete intersections associated with the action of the symmetric group

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