University of Birmingham > Talks@bham > Algebra Seminar > sl_2-triples in classical Lie algebras over fields of positive characteristic

## sl_2-triples in classical Lie algebras over fields of positive characteristicAdd to your list(s) Download to your calendar using vCal - Rachel Pengelly (University of Birmingham)
- Tuesday 12 October 2021, 15:00-16:00
- Lecture Theatre C, Watson Building.
If you have a question about this talk, please contact Gareth Tracey. Let K be an algebraically closed field. 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). In characteristic 0, the Jacobson-Morozov theorem provides a bijection between the orbits of nilpotent elements of the Lie algebra and the orbits of sl_2-triples. In this talk I will discuss the progress made in extending this result to fields of characteristic p. In particular, I will focus on the results in classical Lie algebras, which can be found as subsets of gl_n(K). This talk is part of the Algebra Seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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