Extended affine Weyl groups of type \(A_1\).

DOI10.1007/s10801-007-0112-1zbMath1162.20026OpenAlexW2048511233MaRDI QIDQ1016025

Valiollah Shahsanaei, Saeid Azam

Publication date: 4 May 2009

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-007-0112-1

zbMATH Keywords

relationsgeneratorsDynkin diagramsfinite presentationsextended affine root systemssimply laced extended affine Weyl groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (4)

Characterization and enumeration of reflectable bases of types E6,7,8 ⋮ Unnamed Item ⋮ Classification of pointed reflection spaces ⋮ A graph-theoretical classification for reflectable bases

Cites Work

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• On the presentations of extended affine Weyl groups.
• Extended affine root systems. I: Coxeter transformations
• Extended affine Weyl groups
• Extended affine root systems. III: Elliptic Weyl groups
• Nonreduced extended affine Weyl groups.
• Simply laced extended affine Weyl groups (a finite presentation).
• Extended affine Lie algebras and their root systems
• Nonreduced extended affine root systems of nullity 3
• Presentation by conjugation for \(A_1\)-type extended affine Weyl groups.

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