B-stable ideals in the nilradical of a Borel subalgebra
Representation Theory
2007-05-23 v2 Combinatorics
Abstract
We count the number of strictly positive -stable ideals in the nilradical of a Borel subalgebra and prove that the minimal roots of any -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.
Cite
@article{arxiv.math/0303182,
title = {B-stable ideals in the nilradical of a Borel subalgebra},
author = {Eric Sommers},
journal= {arXiv preprint arXiv:math/0303182},
year = {2007}
}
Comments
We correct the lemmas in Section 3 in the earlier version