Conditions on a finite number of orbits for \(A_r\)-type quivers.

DOI10.1016/j.jalgebra.2003.11.021zbMath1080.16009OpenAlexW2067367008MaRDI QIDQ1882999

Makoto Nagura, Tsuyoshi Niitani

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.11.021

zbMATH Keywords

numbers of orbitsvarieties of representationsrepresentations of quiversalgebraic group actions

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items (2)

A characterization of finite prehomogeneous vector spaces associated with products of special linear groups and Dynkin quivers ⋮ Root Sublattices and Torus-Restriction of Prehomogeneous Vector Spaces Associated with Dynkin Quivers

Cites Work

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• Infinite root systems, representations of graphs and invariant theory
• Relative invariants of the polynomial rings over type \(A_ r\), \(\widetilde A_ r\) quivers
• Representations of quivers of type \(A\) and the multisegment duality
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• A Classification of the Representations of Reductive Algebraic Groups Which Admit Only a Finite Number of Orbits
• Degenerations for the representations of an alternating quiver of type A

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