Testerman, DonnaLawther, Ross2008-12-162008-12-162008-12-16201110.1090/S0065-9266-10-00594-6https://infoscience.epfl.ch/handle/20.500.14299/32765WOS:000287723000001Let G be a simple algebraic group defined over an algebraically closed field k whose characteristic is either 0 or a good prime for G, and let u is an element of G be unipotent. We study the centralizer C-G(u), especially its centre Z(C-G(u)). We calculate the Lie algebra of Z(C-G(u)), in particular determining its dimension; we prove a succession of theorems of increasing generality, the last of which provides a formula for dim Z(C-G(u)) in terms of the labelled diagram associated to the conjugacy class containing u.Lie-AlgebrasEnveloping-AlgebrasNilpotent OrbitsReductive GroupsRepresentationsSlicestext::journal::journal article::research article