Abstract simplicity of locally compact Kac–Moody groups

DOI10.1112/S0010437X13007598zbMath1405.20046arXiv1301.3681MaRDI QIDQ2877499

Timothée Marquis

Publication date: 22 August 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3681

zbMATH Keywords

contraction groupsabstract simplicityroot groupscomplete Kac-Moody groupstopological Kac-Moody groups

Mathematics Subject Classification ID

Simple groups (20E32) Groups with a (BN)-pair; buildings (20E42) Kac-Moody groups (20G44)

Related Items (6)

LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS ⋮ Non-discrete simple locally compact groups ⋮ Groupes de Kac-Moody déployés n corps local II. Masures ordonnées ⋮ On some pro-\(p\) groups from infinite-dimensional Lie theory ⋮ Orthogonal forms of Kac-Moody groups are acylindrically hyperbolic. ⋮ Around the Lie correspondence for complete Kac-Moody groups and Gabber-Kac simplicity

Cites Work

• Uniqueness and presentation of Kac-Moody groups over fields
• The Mautner phenomenon for p-adic Lie groups
• Abstract simplicity of complete Kac-Moody groups over finite fields.
• Contraction groups in complete Kac-Moody groups
• Simplicity and superrigidity of twin building lattices.
• Topological simplicity, commensurator super-rigidity and nonlinearities of Kac-Moody groups
• Topological groups of Kac-Moody type, right-angled twinnings and their lattices.
• Decomposing locally compact groups into simple pieces
• Powers of Coxeter elements in infinite groups are reduced
• EXISTENCE OF LATTICES IN KAC–MOODY GROUPS OVER FINITE FIELDS

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