论文标题
Dynkin型A型非阴性单位形式的强革兰氏分类的图理论框架
A graph theoretical framework for the strong Gram classification of non-negative unit forms of Dynkin type A
论文作者
论文摘要
在签名的线图的背景下，本文介绍了一种修改的通货膨胀技术，以研究非负（整体二次）单位形式的强gram一致性，并用它来表明弱和强的gram一致性重合在Dynskin类型A类型的dyns type A中的积极单位形式A之间。还使用了A Quiver类型的概念。这种类型的主要单位形式也被分类。
In the context of signed line graphs, this article introduces a modified inflation technique to study strong Gram congruence of non-negative (integral quadratic) unit forms, and uses it to show that weak and strong Gram congruence coincide among positive unit forms of Dynkin type A. The concept of inverse of a quiver is also introduced, and is used to obtain and analyze the Coxeter matrix of non-negative unit forms of Dynkin type A. Connected principal unit forms of such type are also classified.
