On 2-spherical Kac-Moody groups and their central extensions

DOI10.1515/FORUM.2007.031zbMath1140.20028OpenAlexW2073265388MaRDI QIDQ5426544

Pierre-Emmanuel Caprace

Publication date: 13 November 2007

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2007.031

zbMATH Keywords

presentationsCoxeter systemsbuildingsKac-Moody groupsSteinberg groupsuniversal central extensionsMoufang propertytwin root data

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Buildings and the geometry of diagrams (51E24) Extensions, wreath products, and other compositions of groups (20E22) Groups with a (BN)-pair; buildings (20E42)

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Cites Work

• Uniqueness and presentation of Kac-Moody groups over fields
• The Curtis-Tits-presentation.

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