RT Conference Proceedings
T1 Extremal elements in Lie Algebras
A1 Cohen, Arjeh M.
K1 Lie, Algebras de
AB The main result discussed in this lecture is an elementary proof of thefollowing theorem: If L is a simple Lie algebra over F of characteristic distinct from 2 and 3 having an extremal element that is not a sandwich, then either F has characteristic 5 and L is isomorphic to the 5-dimensional Witt algebra W_1,1(5), or L is generated by extremal elements.We will also pay attention to the following theorem: If L is a simple Liealgebra generated by extremal elements that are not sandwiches, then it is classical, i.e., essentially a Lie algebra of Chevalley type. This result, of which various geometric proofs are emerging (mainly thanks to Cuypers, Fleischmann, Roberts, and Shpectorov), gives a new proof of the classi cation of classical simple Lie algebras of characteristic distinct from 2 and 3. This is joint work with G abor Ivanyos and Dan Roozemond.For the full paper, see [7]
YR 2014
FD 2014-12-10
LK http://hdl.handle.net/10630/8538
UL http://hdl.handle.net/10630/8538
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026