University of Birmingham > Talks@bham > Algebra seminar  > Curtis–Tits Groups of simply-laced type

Curtis–Tits Groups of simply-laced type

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact David Craven.

The classification of Curtis-Tits amalgams with triangle-free, simply-laced diagram over a field of size at least 4 divides them into two major classes: Orientable amalgams are those arising from applying the Curtis-Tits theorem to groups of Kac-Moody type, and indeed, their universal completions are central extensions of those groups of Kac-Moody type. In the case of a Ãn−1, all completions can be described as central extensions of concrete (matrix) groups. For non-orientable amalgams these groups are symmetry groups of certain unitary forms over a ring of skew Laurent polynomials. It was conjectured that in fact all amalgams arising from the classification have nontrivial completions. In this talk I will discuss this conjecture and describe some properties of the resulting groups.

This talk is part of the Algebra seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on from the University of Cambridge.