Coxeter transformations: construction of deltoids

DOI10.1007/s11006-006-0073-zzbMath1134.05058OpenAlexW2019197989MaRDI QIDQ2473676

V. A. Kolmykov

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0073-z

zbMATH Keywords

Coxeter transformationconstructordeltoidcharacteristic polynomial of a Coxeter transformationspectrum of a deltoid

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

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• The spectral radius of the Coxeter transformations for a generalized Cartan matrix
• The spectrum of a Coxeter transformation, affine Coxeter transformations, and the defect map
• Killing and the Coxeter transformation of Kac-Moody algebras
• Reflections and three-dimensionality.
• Coxeter transformations and the number “–1”
• Coxeter transformations and the geometry of the data matrix
• Coxeter transformations and spectra of operations
• The Coxeter transformation: deltoids, trefoils, and decay numbers

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