Seminar Darstellungstheorie
Das Seminar Darstellungstheorie findet normalerweise dienstags, 14.15 - 15.15 Uhr in G.13.18 statt.
Beteiligte Dozenten: Sascha Orlik, Kay Rülling, Tobias Schmidt, Britta Späth.
08.10.2024 | ||
15.10.2024 | Andreas Bode | Auslander regularity of p-adic Banach algebras via almost mathematics |
22.10.2024 | Damian Sercombe | Unipotent normal subgroups of algebraic groups |
29.10.2024 | ||
05.11.2024 | ||
12.11.2024 | ||
19.11.2024 | Raoul Hallopeau | |
26.11.2024 | ||
03.12.2024 | Solid abelian groups II (research seminar) | |
10.12.2024 | ||
17.12.2024 | ||
07.01.2025 | ||
14.01.2025 | ||
21.01.2025 | ||
28.01.2025 |
Damian Sercombe: Unipotent normal subgroups of algebraic groups
Let G be an affine algebraic group over a field k. We show there exists a unipotent normal subgroup of G which contains all other such subgroups; we call it the restricted unipotent radical Rad_u(G) of G. We investigate some properties of Rad_u(G), and study those G for which Rad_u(G) is trivial. In particular, we relate these notions to their well-known analogues for smooth connected affine k-groups.