Heisenberg groups in the context of groups with many automorphisms
- Date: Thursday 23 March 2017, 01:00PM to 23 March 2017, 01:50PM
- Location: Room 446, Erskine Building, University of Canterbury
- Presented By: Markus Stroppel, Universität Stuttgart, Germany
- Ticket: Free
The classical Heisenberg group is a group of matrices with real entries, depending on three parameters. Apart from its applications in physics and in the structure theory of Lie groups, it has the nice property that its elements fall into just three orbits under automorphisms of the group.
This example easily generalizes to (matrix) groups depending on more parameters, and over more general ground fields, while still retaining the feature that there are few orbits under automorphisms.
We will introduce and discuss some of these examples, and report on the state of the classification of groups with many automorphisms.
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