A deterministic Algorithm for Harder-Narasimhan filtrations for representations of acyclic quivers

DOI10.2140/ant.2024.18.319arXiv2111.06428OpenAlexW4391567096WikidataQ128534321 ScholiaQ128534321MaRDI QIDQ6154492

Chi-yu Cheng

Publication date: 15 February 2024

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.06428

zbMATH Keywords

geometric invariant theoryrepresentationdiscrepancyquiverslope stabilityHarder-Narasimhan filtrationweight stability

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Representations of quivers and partially ordered sets (16G20) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Cites Work

• Instability in invariant theory
• Stable representations of quivers.
• Constructive non-commutative rank computation is in deterministic polynomial time
• Generalized Wong sequences and their applications to Edmonds' problems
• On the Harder-Narasimhan filtration for finite dimensional representations of quivers
• Simultaneous robust subspace recovery and semi-stability of quiver representations
• STRATIFICATIONS ASSOCIATED TO REDUCTIVE GROUP ACTIONS ON AFFINE SPACES
• Geometric Invariant Theory
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS

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