Long Abelian ideals

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dc.creatorPanyushev, Dmitri I.
dc.date2003-03-18
dc.date.accessioned2026-07-07T04:56:09Z
dc.date.available2026-07-07T04:56:09Z
dc.descriptionWe study Abelian ideals of a Borel subalgebra consisting of long roots. It is shown that methods of Cellini and Papi can be extended to this situation. A uniform expression for the number of long Abelian ideals is given. We also show that there is a one-to-one correspondence between the long Abelian ideals and B-stable commutative subalgebras in the little adjoint representation of the Langlands dual Lie algebra.
dc.descriptionLaTeX2e, 8 pages
dc.identifierhttps://arxiv.org/abs/math/0303222
dc.identifierhttp://arxiv.org/abs/math/0303222
dc.identifierAdv. in Math. 186 (2004), 307-316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66824
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleLong Abelian ideals
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