Overgroups of regular elements in reductive algebraic groups
Event details
| Date | 27.05.2013 |
| Hour | 09:00 › 10:15 |
| Speaker | Donna Testerman [EPFL] |
| Location |
MA A3 31
|
| Category | Conferences - Seminars |
We report on recent work with A. Zalesski concerning the study of reductive overgroups of regular elements in reductive algebraic groups.
In the case where the regular element is a regular unipotent element, this work complements the work of Saxl and Seitz, where they classified the maximal positive-dimensional closed
subgroups H of a simple algebraic group G, such that H contains a regular unipotent element of G.
Our main result on unipotent elements shows that a connected reductive subgroup H containing a regular unipotent element of G does not lie in a proper parabolic subgroup of G.
We describe the application of the above result to the study of overgroups of regular unipotent elements. Then we will discuss our current work on overgroups of general regular elements
in simple algebraic groups.
In the case where the regular element is a regular unipotent element, this work complements the work of Saxl and Seitz, where they classified the maximal positive-dimensional closed
subgroups H of a simple algebraic group G, such that H contains a regular unipotent element of G.
Our main result on unipotent elements shows that a connected reductive subgroup H containing a regular unipotent element of G does not lie in a proper parabolic subgroup of G.
We describe the application of the above result to the study of overgroups of regular unipotent elements. Then we will discuss our current work on overgroups of general regular elements
in simple algebraic groups.
Practical information
- Expert
- Free
Organizer
- Jacques Thévenaz
Contact
- Jacques Thévenaz