Incidence graphs and non-negative integral quadratic forms

JOURNAL OF ALGEBRA

卷:513

Article

Jimenez Gonzalez, Jesus Arturo¹ 

[1] Univ Nacl Autonoma Mexico, Area Invest Cient, Circuito Exterior, Inst Matemat, Ciudad Univ, Mexico City 04510, DF, Mexico

关键词: Graphs;    Quivers;    Integral quadratic forms;    Dynkin type;    Categorification;   

DOI  :  10.1016/j.jalgebra.2018.07.020

来源: Elsevier

【 摘 要 】

We present directed multigraphs (quivers) and their walks as combinatorial models for non-negative semi-unit integral quadratic forms of Dynkin type A and their associated roots and radical vectors. This point of view leads to an easy description of those forms which are positive and weakly positive (properties of interest in Lie theory and the representation theory of algebras), and derives into a categorification of such unitary forms. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free