Abelian ideals with given dimension in Borel subalgebras

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dc.creatorLuo, Li
dc.date2008-08-15
dc.date.accessioned2026-07-07T09:56:51Z
dc.date.available2026-07-07T09:56:51Z
dc.descriptionA well-known Peterson's theorem says that the number of abelian ideals in a Borel subalgebra of a rank-$r$ finite dimensional simple Lie algebra is exactly $2^r$. In this paper, we determine the dimensional distribution of abelian ideals in a Borel subalgebra of finite dimensional simple Lie algebras, which is a refinement of the Peterson's theorem capturing more Lie algebra invariants.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0808.2086
dc.identifierhttp://arxiv.org/abs/0808.2086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167131
dc.subjectQuantum Algebra
dc.titleAbelian ideals with given dimension in Borel subalgebras
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