Isomorphisms of Kac-Moody groups

被引：0

作者：

Pierre-Emmanuel Caprace

Bernhard Mühlherr

机构：

[1] Université libre de Bruxelles,Département de Mathématiques

来源：

Inventiones mathematicae | 2005年 / 161卷

关键词：

Automorphism Group; Characteristic Zero; Isomorphism Problem;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：361 / 388

页数：27

共 50 条

[1] Isomorphisms of Kac-Moody groups
Caprace, PE
Mühlherr, B
INVENTIONES MATHEMATICAE, 2005, 161 (02) : 361 - 388
[2] Isomorphisms and rigidity of arithmetic Kac-Moody groups
Parsa, Amir Farahmand
Horn, Max
Koehl, Ralf
JOURNAL OF LIE THEORY, 2016, 26 (04) : 1079 - 1105
[3] Isomorphisms of Kac-Moody groups which preserve bounded subgroups
Caprace, Pierre-Emmanuel
Muhlherr, Bernhard
ADVANCES IN MATHEMATICS, 2006, 206 (01) : 250 - 278
[4] Isomorphisms of unitary forms of Kac-Moody groups over finite fields
Gramlich, Ralf
Mars, Andreas
JOURNAL OF ALGEBRA, 2009, 322 (02) : 554 - 561
[5] On the Topology of Kac-Moody groups
Kitchloo, Nitu
MATHEMATISCHE ZEITSCHRIFT, 2014, 276 (3-4) : 727 - 756
[6] Lattices in Kac-Moody groups
Carbone, L
Garland, H
MATHEMATICAL RESEARCH LETTERS, 1999, 6 (3-4) : 439 - 447
[7] Buildings and Kac-Moody Groups
Remy, Bertrand
BUILDINGS, FINITE GEOMETRIES AND GROUPS, 2012, 10 : 231 - 250
[8] Kac-Moody groups and completions
Capdeboscq, Inna
Rumynin, Dmitriy
JOURNAL OF ALGEBRA, 2020, 561 : 131 - 148
[9] Bounded presentations of Kac-Moody groups
Capdeboscq, Inna
JOURNAL OF GROUP THEORY, 2013, 16 (06) : 899 - 905
[10] Classifying spaces of Kac-Moody groups
Broto, C
Kitchloo, N
MATHEMATISCHE ZEITSCHRIFT, 2002, 240 (03) : 621 - 649

← 1 2 3 4 5 →