%0 Journal Article
%T B-stable ideals in the nilradical of a Borel subalgebra
%A Eric Sommers
%J Mathematics
%D 2003
%I arXiv
%X We count the number of strictly positive $B$-stable ideals in the nilradical of a Borel subalgebra and prove that the minimal roots of any $B$-stable ideal are conjugate by an element of the Weyl group to a subset of the simple roots. We also compute the number of ideals whose minimal roots are conjugate to a fixed subset of simple roots.
%U http://arxiv.org/abs/math/0303182v2