Relative invariants of finite groups

DOI10.1016/0021-8693(82)90326-XzbMath0499.20029MaRDI QIDQ1171648

Haruhisa Nakajima

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

homogeneous polynomialsymmetric algebralinear charactergraded free module

Mathematics Subject Classification ID

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

Related Items

Invariants of hyperplane groups and vanishing ideals of finite sets of points, Equidimensional actions of algebraic tori, Quotient complete intersections of affine spaces by finite linear groups, Hypersurfaces in modular invariant theory, Relative invariants, ideal classes and quasi-canonical modules of modular rings of invariants, Invariant differential derivations for reflection groups in positive characteristic, Class groups of localities of rings of invariants of reductive algebraic groups, Polynomial invariants of finite groups. A survey of recent developments, Invariants of modular groups, Unique factorization in invariant power series rings, Reduced class groups grafting relative invariants, Semi-invariant matrices over finite groups., Reduced ramification indices of quotient morphisms under torus actions, Rings of invariants of finite groups which are hypersurfaces. II, Rings of invariants of finite groups which are hypersurfaces, On the center and semi-center of enveloping algebras in prime characteristic, The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics, VALUATIVE CHARACTERIZATION OF CENTRAL EXTENSIONS OF ALGEBRAIC TORI ON KRULL DOMAINS, Divisorial free modules of relative invariants on Krull domains, Quotient singularities which are complete intersections

Cites Work

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• Picard groups of some rings of invariants
• Certain invariant subrings are Gorenstein. II
• Relative invariants of finite groups generated by pseudoreflections
• Certain invariant subrings are Gorenstein. I
• On finite groups generated by pseudoreflections
• Lectures on unique factorization domains. Notes by M. Pavman Murthy
• Invariants of finite groups and their applications to combinatorics