B-Stable Ideals in the Nilradical of a Borel Subalgebra

• Autores: Eric N. Sommers
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 48, Nº 3, 2005, págs. 460-472
• Idioma: inglés
• DOI: 10.4153/cmb-2005-043-4
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• Resumen

  • 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 count the number of ideals whose minimal roots are conjugate to a fixed subset of simple roots.