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A Report on the Scientific Contributions of Jacques Tits

  • Francis BuekenhoutEmail author
Chapter
Part of the The Abel Prize book series (AP)

Abstract

Jacques Tits is the founder and main developer of the monumental Theory of Buildings which is primarily a combinatorial geometric structure underlying groups of Lie type. It is so to speak group theory without groups. It is a tool to recognize groups of Lie type in contexts where they are not readily present. Its influence on group theory and on the development of algebra is growing fast. On his way to buildings, Tits created the theory of abstract Coxeter groups. Together with François Bruhat, he classified the affine buildings in rather long and difficult work. Together with Richard Weiss, he finished the theory of Moufang polygons in an elementary and long masterpiece of revolutionary algebra.

Keywords

Simple Group Algebraic Group Coxeter Group Chevalley Group Finite Simple Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Supplementary material

A lecture by Prof. Broue in connection with the Abel Prize 2008 to John G. Thompson and Jacques Tits (MP4 289 MB)

A lecture by Prof. Lubotzky in connection with the Abel Prize 2008 to John G. Thompson and Jacques Tits (MP4 325 MB)

The Abel Lecture by John G. Thompson, the Abel Laureate 2008 (MP4 357 MB)

The Abel Lecture by Jacques Tits, the Abel Laureate 2008 (MP4 278 MB)

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Département de MathématiqueUniversité libre de BruxellesBrusselsBelgium

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