Relative invariants of the polynomial rings over type \(A_ r\), \(\widetilde A_ r\) quivers

DOI10.1016/0001-8708(91)90042-6zbMath0814.16010OpenAlexW2000990663MaRDI QIDQ1174925

Kazuhiko Koike

Publication date: 25 June 1992

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(91)90042-6

zbMATH Keywords

adjoint actionsemisimple Lie grouprelative invariantssymmetric algebrafinite directed graph

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Representations of quivers and partially ordered sets (16G20) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items

Conditions on a finite number of orbits for \(A_r\)-type quivers., Invariants of finite and infinite groups generated by reflections, Defining relation for semi-invariants of three by three matrix triples, \(b\)-functions associated with quivers of type \textsf{A}, INVARIANTS OF MIXED REPRESENTATIONS OF QUIVERS I, Semi-invariants of quivers as determinants, Orbit semigroups and the representation type of quivers., Invariant theory of canonical algebras, Invariants of quivers and wreath products

Cites Work

• Infinite root systems, representations of graphs and invariant theory
• Some remarks on nilpotent orbits
• Young diagrams and determinantal varieties
• Infinite root systems, representations of graphs and invariant theory. II
• Invariants, nilpotent orbits, and prehomogeneous vector spaces
• A characteristic free approach to invariant theory
• On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• COXETER FUNCTORS AND GABRIEL'S THEOREM
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