On the Cohen-Macaulay property of multiplicative invariants

DOI10.1090/S0002-9947-05-03764-5zbMath1129.13005arXivmath/0312302MaRDI QIDQ5714398

Martin Lorenz

Publication date: 2 January 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312302

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Actions of groups on commutative rings; invariant theory (13A50) Cohen-Macaulay modules (13C14)

Related Items

Finite groups generated in low real codimension, Is the Luna stratification intrinsic?

Uses Software

• GAP

Cites Work

• Quotient singularities which are complete intersections
• Linear groups containing an element with an eigenspace of codimension two
• Linear groups of degree n containing an involution with two eigenvalues - 1. II
• On the branch locus of quotients by finite groups and the depth of the algebra of invariants
• Generation of finite almost simple groups by conjugates.
• Multiplicative invariant theory
• Finite linear groups whose ring of invariants is a complete intersection
• Differential Equations Invariant Under Finite Reflection Groups
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• Multiplicative invariants and semigroup algebras
• On Cohen-Macaulay rings of invariants
• The depth of invariant rings and cohomology. Appendix by Kay Magaard: Visible flatness for irreducible modules of groups with BN-pair
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item