Incidence graphs and non-negative integral quadratic forms

被引：5

作者：

Jimenez Gonzalez, Jesus Arturo ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA | 2018年 / 513卷

关键词：

Graphs; Quivers; Integral quadratic forms; Dynkin type; Categorification; POSITIVE UNIT FORMS; ALGEBRAS;

D O I：

10.1016/j.jalgebra.2018.07.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：208 / 245

页数：38

共 15 条

[1]

[Anonymous], 2015, GRAPHS DIGRAPHS

[2] Generalized Serre relations for Lie algebras associated with positive unit forms [J].