论文标题
Dynkin A型非负单元形式的Coxeter不变式
Coxeter invariants for non-negative unit forms of Dynkin type A
论文作者
论文摘要
如果它们的上三角革兰氏矩阵是z-征量，则两种整体二次单位形式被称为强烈革兰氏剂。本文在[Indountamata Informaticae 184（1）：49-82，2021]中引入的框架内为这些单位形式提供了一个组合革兰氏剂不变性，并使用它来确定所有相应的Coxeter多项式和（还原）Coxeter编号。
Two integral quadratic unit forms are called strongly Gram congruent if their upper triangular Gram matrices are Z-congruent. The paper gives a combinatorial strong Gram invariant for those unit forms that are non-negative of Dynkin type A, within the framework introduced in [Fundamenta Informaticae 184(1):49-82, 2021], and uses it to determine all corresponding Coxeter polynomials and (reduced) Coxeter numbers.
