3 papers
math.RA2019
Nilpotent varieties of some finite dimensional restricted Lie algebras
Cong Chen
In the late 1980s, A. Premet conjectured that the variety of nilpotent elements of any finite dimensional restricted Lie algebra over an algebraically closed field of characteristi…
math.RA2017
The nilpotent variety of is irreducible
Cong Chen
In the late 1980s, Premet conjectured that the nilpotent variety of any finite dimensional restricted Lie algebra over an algebraically closed field of characteristic is irre…
math.LO2011
Model theoretic connected components of finitely generated nilpotent groups
Nathan Bowler, Cong Chen, Jakub Gismatullin
We prove that for a finitely generated infinite nilpotent group G with a first order structure (G,*,...), the connected component G*0 of a sufficiently saturated extension G* of G…