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

DOI10.1016/j.dam.2020.05.022zbMath1473.15043OpenAlexW3035595596MaRDI QIDQ1983119

Andrzej Mróz, Bartosz Makuracki

Publication date: 15 September 2021

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2020.05.022

zbMATH Keywords

Cartan matrixGram matrixDynkin diagramintegral quadratic formquasi-Cartan matrixsigned multigraph

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Simple, semisimple, reductive (super)algebras (17B20) Quadratic and bilinear forms, inner products (15A63) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21)

Related Items (2)

A Strong Gram Classification of Non-negative Unit Forms of Dynkin Type 𝔸r ⋮ Polynomial-time Classification of Skew-symmetrizable Matrices with a Positive Definite Quasi-Cartan Companion

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