Isomorphisms of Kac-Moody groups

• 成果类型: Article
• 署名作者: Caprace, PE; Mühlherr, B
• 署名单位: Universite Libre de Bruxelles
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-004-0430-z
• 发表日期: 2005
• 页码: 361-388
• 关键词: twin buildings; AUTOMORPHISMS

摘要

We give the solution of the isomorphism problem for Kac-Moody groups over algebraically closed fields of any characteristic. In particular, we prove a conjecture of Kac and Peterson and compute the automorphism group of a Kac-Moody group over an algebraically closed field of characteristic zero.