A Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸r (Q6125707)

scientific article; zbMATH DE number 7831249

Language	Label	Description	Also known as
English	A Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸r	scientific article; zbMATH DE number 7831249

Statements

instance of

scholarly article

0 references

title

A Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸r (English)

0 references

author

Q6125706

0 references

published in

Fundamenta Informaticae

0 references

publication date

11 April 2024

0 references

zbMATH Keywords

integral quadratic form

0 references

Gram congruence

0 references

Dynkin type

0 references

Coxeter polynomial

0 references

edge-bipartite graph

0 references

quiver

0 references

incidence matrix

0 references

signed line graph

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Matters Computational

0 references

A characterization of positive unit forms

0 references

A characterization of positive unit forms. II

0 references

CLUSTER ALGEBRAS OF FINITE TYPE AND POSITIVE SYMMETRIZABLE MATRICES

0 references

Quadratic forms. Combinatorics and numerical results

0 references

The Dynkin type of a non-negative unit form.

0 references

Algebras whose Euler form is non-negative

0 references

Root-induced integral quadratic forms

0 references

COXETER FUNCTORS AND GABRIEL'S THEOREM

0 references

Numeric and mesh algorithms for the Coxeter spectral study of positive edge-bipartite graphs and their isotropy groups

0 references

Algebras and Quadratic Forms

0 references

Tame algebras and Tits quadratic forms.

0 references

Line graphs, root systems, and elliptic geometry

0 references

Algorithms for weakly nonnegative quadratic forms

0 references

Indecomposable representations of graphs and algebras

0 references

Q3964736

0 references

The homological quadratic form of a biextension algebra

0 references

Tree algebras with non-negative tits form

0 references

Towards the classification of sincere weakly positive unit forms

0 references

Applications of matrix morsifications to Coxeter spectral study of loop-free edge-bipartite graphs

0 references

Unzerlegbare Darstellungen. I. (Indecomposable representations. I)

0 references

Q5173848

0 references

A Gram classification of non-negative corank-two loop-free edge-bipartite graphs

0 references

The converse of Drozd’s theorem on quadratic forms

0 references

On weakly positive unit forms

0 references

Edge reduction for unit forms

0 references

On Weakly Non-Negative Unit forms and Tame Algebras

0 references

Congruences of a square matrix and its transpose

0 references

Incidence graphs and non-negative integral quadratic forms

0 references

A Graph Theoretical Framework for the Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸n

0 references

Coxeter Invariants for Non-negative Unit Forms of Dynkin Type 𝔸r

0 references

Mesh Algorithms for Coxeter Spectral Classification of Cox-regular Edge-bipartite Graphs with Loops, I. Mesh Root Systems

0 references

Mesh Algorithms for Coxeter Spectral Classification of Cox-regular Edge-bipartite Graphs with Loops, II. Application to Coxeter Spectral Analysis

0 references

Q2909626

0 references

Q4888471

0 references

Hereditary noetherian categories of positive Euler characteristic

0 references

Root systems and inflations of non-negative quasi-Cartan matrices

0 references

Coefficients of non-negative quasi-Cartan matrices, their symmetrizers and Gram matrices

0 references

A Gram classification of principal Cox-regular edge-bipartite graphs via inflation algorithm

0 references

Inflation Agorithm for Cox-regular Postive Edge-bipartite Graphs with Loops

0 references

Congruences of Edge-bipartite Graphs with Applications to Grothendieck Group Recognition I. Inflation Algorithm Revisited*

0 references

Congruences of Edge-bipartite Graphs with Applications to Grothendieck Group Recognition II. Coxeter Type Study*

0 references

Tubes in derived categories and cyclotomic factors of the Coxeter polynomial of an algebra.

0 references

Periodicity in bilinear lattices and the Coxeter formalism

0 references

Q5668937

0 references

Q3356464

0 references

Cubic Algorithm to Compute the Dynkin Type of a Positive Definite Quasi-Cartan Matrix

0 references

Tame algebras and integral quadratic forms

0 references

Periodic Coxeter matrices and their associated quadratic forms

0 references

Mesh Algorithms for Solving Principal Diophantine Equations, Sand-glass Tubes and Tori of Roots

0 references

Mesh geometries of root orbits of integral quadratic forms

0 references

Algorithms Determining Matrix Morsifications, Weyl orbits, Coxeter Polynomials and Mesh Geometries of Roots for Dynkin Diagrams

0 references

A Framework for Coxeter Spectral Analysis of Edge-bipartite Graphs, their Rational Morsifications and Mesh Geometries of Root Orbits

0 references

Toroidal Algorithms for Mesh Geometries of Root Orbits of the Dynkin Diagram $\mathbb{D}_4$

0 references

A Coxeter--Gram Classification of Positive Simply Laced Edge-Bipartite Graphs

0 references

Symbolic Algorithms Computing Gram Congruences in the Coxeter Spectral Classification of Edge-bipartite Graphs, I. A Gram Classification

0 references

Symbolic Algorithms Computing Gram Congruences in the Coxeter Spectral Classification of Edge-bipartite Graphs, II. Isotropy Mini-groups

0 references

A Coxeter spectral classification of positive edge-bipartite graphs. I: Dynkin types $\mathcal{B}_n$, $\mathcal{C}_n$, $\mathcal{F}_4$, $\mathcal{G}_2$, $\mathbb{E}_6$, $\mathbb{E}_7$, $\mathbb{E}_8$

0 references

Symbolic computation of strong Gram congruences for Cox-regular positive edge-bipartite graphs with loops

0 references

A computational technique in Coxeter spectral study of symmetrizable integer Cartan matrices

0 references

A Coxeter spectral classification of positive edge-bipartite graphs. II: Dynkin type $\mathbb{D}_n$

0 references

Weyl orbits of matrix morsifications and a Coxeter spectral classification of positive signed graphs and quasi-Cartan matrices of Dynkin type $\mathbb{A}_n$

0 references

A framework for Coxeter spectral classification of finite posets and their mesh geometries of roots.

0 references

Inflation algorithm for loop-free non-negative edge-bipartite graphs of corank at least two

0 references

The Geometry of Root Systems and Signed Graphs

0 references

Matrices in the Theory of Signed Simple Graphs

0 references

Identifiers

DOI

10.3233/fi-242171

0 references

Mathematics Subject Classification ID

68-XX

0 references

zbMATH DE Number

7831249

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6125707