University of Birmingham > Talks@bham > Postgraduate Algebra Seminar > sl_2-triples in prime characteristic

sl_2-triples in prime characteristic

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

If you have a question about this talk, please contact Rachel Pengelly.

Let K be an algebraically closed field of prime characteristic. Given three elements of some Lie algebra over K, we say that these elements form an sl_2-triple if they generate a subalgebra which is a homomorphic image of sl_2(K). The Jacobson-Morozov theorem, and its analogue in prime characteristic, provide a bijection between the orbits of nilpotent elements of the Lie algebra and the orbits of sl_2-triples. I will give some further results for the classical Lie algebras. I will then introduce exceptional Lie algebras and discuss how we consider sl2-triples in these cases.

This talk is part of the Postgraduate 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 talks.cam from the University of Cambridge.