Combinatorics of extended affine root systems (type A1)

DOI10.1142/S0219498819500518zbMath1452.17014MaRDI QIDQ5383825

Zahra Kharaghani, Saeid Azam

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

extended affine Weyl groupsexchange conditionelliptic root systemsBruhat ordering

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Root systems (17B22)

Related Items

Unnamed Item, A graph-theoretical classification for reflectable bases, Integral structures in extended affine Lie algebras

Cites Work

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• Affine root systems and Dedekind's \(\eta\)-function
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• Reflection systems and partial root systems
• A Length Function for Weyl Groups of Extended Affine Root Systems of Type A₁
• Extended affine Lie algebras and their root systems
• Involutions of Double Affine Hecke Algebras
• Presentation by conjugation for \(A_1\)-type extended affine Weyl groups.
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