Weyl groups associated with affine reflection systems of type \(A_1\) (Coxeter type defining relations).

DOI10.4171/PRIMS/99zbMath1272.20041arXiv1207.2244MaRDI QIDQ1946991

Mohammad Nikouei, Saeid Azam

Publication date: 11 April 2013

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2244

zbMATH Keywords

presentationsextended affine Weyl groupsaffine reflection systemshyperbolic Weyl groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) 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 (4)

A Length Function for Weyl Groups of Extended Affine Root Systems of Type A₁ ⋮ Characterization and enumeration of reflectable bases of types E6,7,8 ⋮ Unnamed Item ⋮ Combinatorics of extended affine root systems (type A1)

Cites Work

• Extended affine Lie algebras and their root systems

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