4 papers
Burt-Butler algebras of the bocs associated to a finite partially ordered set
R. Bautista, J. A. Jimenez Gonzalez
Given an algebra and an -bimodule with co-algebra structure, a bocs, the algebras of endomorphisms of as left or right module of the bocs are known as Burt-Butler…
A strong Gram classification of non-negative unit forms of Dynkin type A
J. A. Jimenez Gonzalez
An integral quadratic form q is usually identified with a bilinear form b such that its Gram matrix with respect to the canonical basis is upper triangular. Two integral quadratic…
Coxeter invariants for non-negative unit forms of Dynkin type A
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…
A graph theoretical framework for the strong Gram classification of non-negative unit forms of Dynkin type A
Jesus Arturo Jimenez Gonzalez
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 us…