University of Birmingham > Talks@bham > Algebra Seminar > The Generalised Nilradical of a Lie Algebra

## The Generalised Nilradical of a Lie AlgebraAdd to your list(s) Download to your calendar using vCal - David Towers, Lancaster University
- Wednesday 30 November 2016, 16:00-17:00
- Watson Building, Lecture Room B.
If you have a question about this talk, please contact Anton Evseev. A solvable Lie algebra L has the property that its nilradical N contains its own centraliser. This is interesting because it gives a representation of L as a subalgebra of the derivation algebra of its nilradical, with kernel equal to the centre of N. I will consider several possible generalisations of the nilradical for which this property holds in any Lie algebra. The main result states that for every Lie algebra L, L/Z(N), where Z(N) is the centre of the nilradical of L, is isomorphic to a subalgebra of Der(N*) where N* is an ideal of L such that N*/N is the socle of a semisimple Lie algebra. This talk is part of the Algebra Seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsMetamaterials Research Group Seminars Type the title of a new list here Condensed Matter Group Meetings## Other talksCombining Organic Synthesis, Isotopes and Synthetic Biology in Natural Products Research Intriguing Properties of Adversarial ML Attacks in the Problem Space Sublattice Groups The Suzuki Chain Operator Preconditioning and Some Recent Developments for Boundary Integral Equations RSC S F Boys-A Rahman Award Lecture |