Characterization and enumeration of reflectable bases of types E6,7,8

DOI10.1080/00927872.2021.2018448OpenAlexW4206637802MaRDI QIDQ5072735

Masaya Tomie, Yoji Yoshii, Saeid Azam, Mohammad Bagher Soltani

Publication date: 4 May 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.2018448

zbMATH Keywords

minimal generating setsextended affine Weyl groupsextended affine root systemsaffine reflection systemsreflectable bases

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• Extended Affine Weyl Groups: Presentation by Conjugation via Integral Collection
• Extended affine Lie algebras and their root systems
• Locally finite root systems
• Reduced and nonreduced presentations of Weyl group elements
• Presentation by conjugation for \(A_1\)-type extended affine Weyl groups.
• Reflection groups and invariant theory

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