2003/03/14 by Eric Sommers, Sommers, Eric · 1 citation
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT
paper · pdf · doi:10.48550/arxiv.math/0303182
We correct the lemmas in Section 3 in the earlier version
arxiv created 2003/09/19 · arxiv updated 2009/11/30
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.