Invariants of reductive Lie groups of rank one and their applications

DOI10.3792/pjaa.60.221zbMath0586.22007OpenAlexW1977600236WikidataQ115219958 ScholiaQ115219958MaRDI QIDQ1071875

Haruhisa Nakajima

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.221

zbMATH Keywords

fundamental representationscomplete intersectionirreducible representationsinvariant polynomialshighest weightsmaximal toruscomplete cointersectioncoregular representationfinite- dimensional complex representationLie groups of rank onereductive complex linear algebraic group

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (1)

Geometric theory of invariants of groups generated by reflections

Cites Work

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• Rings of invariants of finite groups which are hypersurfaces. II
• Über Untergruppen kompakter Liegruppen als Isotropiegruppen bei linearen Aktionen
• Adherences d'orbite et invariants
• Relative invariants of finite groups generated by pseudoreflections
• Representations of simple Lie groups with regular rings of invariants
• Homological dimension of algebras of invariants.
• Eine klassifikation bestimmter untergruppen kompakter zusammen-hängender liegruppen

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