B-stable ideals in the nilradical of a Borel subalgebra

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dc.creatorSommers, Eric
dc.date2003-03-14
dc.date2003-09-19
dc.date.accessioned2026-07-07T04:56:04Z
dc.date.available2026-07-07T04:56:04Z
dc.descriptionWe 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.
dc.descriptionWe correct the lemmas in Section 3 in the earlier version
dc.identifierhttps://arxiv.org/abs/math/0303182
dc.identifierhttp://arxiv.org/abs/math/0303182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66793
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleB-stable ideals in the nilradical of a Borel subalgebra
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