Zero-sum triangles for involutory, idempotent, nilpotent and unipotent matrices

DOI10.1016/j.rinam.2022.100238zbMath1491.15034arXiv2012.14493OpenAlexW4226376348MaRDI QIDQ2668189

Pengwei Hao, Huahan Hao, Chao Zhang

Publication date: 3 March 2022

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

Full work available at URL: https://arxiv.org/abs/2012.14493

zbMATH Keywords

idempotentnilpotentunipotentinvolutorynumber trianglezero-sum rule

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Matrices of integers (15B36) Matrices, determinants in number theory (11C20) Calculation of integer sequences (11Y55)

Uses Software

• OEIS
• mftoolbox

Cites Work

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• Products of unipotent matrices of index 2
• Customizable triangular factorizations of matrices
• The Group Generated by Unipotent Operators
• Reversible Resampling of Integer Signals
• Matrix Algebra
• Groups, Matrices, and Vector Spaces
• Functions of Matrices

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