Nonreduced extended affine Weyl groups.

DOI10.1016/S0021-8693(03)00521-0zbMath1093.20021MaRDI QIDQ1414672

Saeid Azam

Publication date: 4 December 2003

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

zbMATH Keywords

semidirect productsfinite Weyl groupscharacteristic subgroupsKac-Moody affine root systemsWeyl groups of nonreduced extended affine root systems

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (10)

The Structure of a Presented Group Associated to an Extended Affine Root System ⋮ Reflection systems and partial root systems ⋮ Integrable representations for the twisted full toroidal Lie algebras ⋮ On the presentations of extended affine Weyl groups. ⋮ Simply laced extended affine Weyl groups (a finite presentation). ⋮ Classification of irreducible integrable representations for the full toroidal Lie algebras ⋮ Extended Affine Weyl Groups: Presentation by Conjugation via Integral Collection ⋮ Extended affine Weyl groups of type \(A_1\). ⋮ Presentation by conjugation for \(A_1\)-type extended affine Weyl groups. ⋮ Presentation by conjugation for \(A_1\)-type extended affine Weyl groups.

Cites Work

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