Incidence graphs and non-negative integral quadratic forms

DOI10.1016/j.jalgebra.2018.07.020zbMath1395.05101OpenAlexW2887446263MaRDI QIDQ1786463

Jesús Arturo Jiménez González

Publication date: 24 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.07.020

zbMATH Keywords

quiverscategorificationDynkin typeintegral quadratic forms

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Quadratic and bilinear forms, inner products (15A63) Directed graphs (digraphs), tournaments (05C20)

Related Items (4)

Coxeter Invariants for Non-negative Unit Forms of Dynkin Type 𝔸r ⋮ A Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸r ⋮ Applications of mesh algorithms and self-dual mesh geometries of root Coxeter orbits to a Horn-Sergeichuk type problem ⋮ A Graph Theoretical Framework for the Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸n

Cites Work

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• The Dynkin type of a non-negative unit form.
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• Root-induced integral quadratic forms
• The converse of Drozd’s theorem on quadratic forms
• A characterization of positive unit forms. II

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