The extension to root systems of a theorem on tournaments

DOI10.1016/0097-3165(86)90082-8zbMath0595.05038OpenAlexW2008540304MaRDI QIDQ1077428

Philip J. Hanlon, Robert Calderbank

Publication date: 1986

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(86)90082-8

zbMATH Keywords

root systemstournamentWeyl's denominator formula3-cyclesDyson's conjectureMacdonald's conjecture

Mathematics Subject Classification ID

Paths and cycles (05C38) Simple, semisimple, reductive (super)algebras (17B20) Directed graphs (digraphs), tournaments (05C20)

Related Items

Colored tournaments and Weyl's denominator formula

Cites Work

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• A proof of Andrews' \(q\)-Dyson conjecture
• Colored tournaments and Weyl's denominator formula
• The orders of the finite Chevalley groups
• Tournaments and Vandermond's determinant
• Some Conjectures for Root Systems