Vol. 9, No. 1, 2009

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Groups with a root group datum

Pierre-Emmanuel Caprace and Bertrand Rémy

Vol. 9 (2009), No. 1, 5–77

Root group data provide the abstract combinatorial framework common to all groups of Lie-type and of Kac–Moody-type. These notes intend to serve as a friendly introduction to their basic theory. We also survey some recent developments.

root group datum, BN-pair, building, simple group, Kac–Moody group
Mathematical Subject Classification 2000
Primary: 17B67, 20B07, 20E42, 20F55, 51E24
Received: 23 February 2008
Accepted: 8 June 2009
Pierre-Emmanuel Caprace
Departement de Mathematiques
Universite Catholique de Louvain - IRMP
Chemin du Cyclotron 2, boîte L7.01.02
1348 Louvain-la-Neuve
Bertrand Rémy