Properties of the Coxeter transformations for the affine Dynkin cycle

DOI10.3103/S1066369X14090047zbMath1308.05098OpenAlexW2008354577MaRDI QIDQ2262917

V. V. Men'shikh, V. F. Subbotin

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14090047

zbMATH Keywords

Weyl groupJordan formCoxeter transformationaffine Dynkin cycle

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graph algorithms (graph-theoretic aspects) (05C85)

Cites Work

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• Coxeter transformations and representations of partially ordered sets
• Killing and the Coxeter transformation of Kac-Moody algebras
• On reversal of graph orientation

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