Jesús Arturo Jiménez González - Coxeter invariants for non-negative unit forms of Dynkin type A

fi:7604 - Fundamenta Informaticae, May 6, 2022, Volume 185, Issue 3
Coxeter invariants for non-negative unit forms of Dynkin type A

Authors: Jesús Arturo Jiménez González

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.


Volume: Volume 185, Issue 3
Published on: May 6, 2022
Accepted on: February 23, 2022
Submitted on: June 18, 2021
Keywords: Mathematics - Combinatorics,15A63, 15A21, 15B36, 05C22, 05C50, 05C76, 05B20


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