Type: Seminar

Distribution: World

Expiry: 21 Sep 2007

CalTitle1: Algebra Seminar: O’Sullivan -- The generalised Jacobson-Morosov theorem

Auth: anthonyh@asti.maths.usyd.edu.au

The classical Jacobson-Morosov theorem states that over a field k of
characteristic zero, the embedding of the additive group G_{a} into
SL_{2}
is universal among homomorphisms from G_{a} to a reductive group, in the sense
that any such homomorphism factors through the embedding, and any two
factorisations are conjugate.
Based on a categorical splitting theorem, Andre and Kahn proved that a
similar universal property holds with G After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |