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Algebra Seminar
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Bernhard Muhlherr
Universite Libre de Bruxelles

Twin buildings and groups of Kac-Moody type

Friday 18th July, 12:05-12:55pm, Carslaw 173.

Kac-Moody groups over fields are infinite dimensional versions of Chevalley groups. As in the case of Chevalley groups one can associate a building to each such group. In fact there are two buildings which are linked by an opposition relation. The triple consisting of the two buildings and the opposition relation is the twin building of the group in question.

In my talk I will give a survey of the classification of twin buildings and two group-theoretical applications of them; namely, a generalisation of the Curtis-Tits presentation to Kac-Moody groups and the solution of the isomorphism-problem over algebraically closed fields.