34 citations · 36 across the 4 of their papers we have counts for
4 papers
Algebraic families of subfields in division rings
J. M. Bois, G. Vernik
We describe relations between maximal subfields in a division ring and in its rational extensions. More precisely, we prove that properties such as being Galois or purely inseparab…
Weyl groups for non-classical restricted Lie algebras and the Chevalley restriction theorem
Jean-Marie Bois, Rolf Farnsteiner, Bin Shu
Let (g,[p]) be a finite-dimensional restricted Lie algebra, defined over an algebraically closed field k of characteristic p>0. The scheme of tori of maximal dimension of g gives r…
Generators of simple Lie algebras II
Jean-Marie Bois
This paper is a continuation of earlier work on generators of simple Lie algebras in arbitrary characteristic (see arXiv:0708.1711). We show that, in contrast to classical Lie alge…
Generators of simple Lie algebras in arbitrary characteristics
Jean-Marie Bois
In this paper we study the minimal number of generators for simple Lie algebras in characteristic 0 or p > 3. We show that any such algebra can be generated by 2 elements. We also…