A conjectural generalization of n! result to arbitrary groups

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dc.creatorKumar, Shrawan
dc.creatorThomsen, Jesper Funch
dc.date2002-01-22
dc.date2002-08-14
dc.date.accessioned2026-07-07T04:46:02Z
dc.date.available2026-07-07T04:46:02Z
dc.descriptionWe relate the n! conjecture (by Garsia and Haiman) to the geometry of principal nilpotent pairs, and state a conjecture generalizing the n! conjecture to arbitrary semisimple algebraic groups. We also show, using Borel's fixed point theorem, how to reduce the n! conjecture to staircase partitions. Finally we study the interplay between characteristic p and the n! conjecture for box partitions.
dc.descriptionMain conjectures has changed, 28 pages
dc.identifierhttps://arxiv.org/abs/math/0201205
dc.identifierhttp://arxiv.org/abs/math/0201205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63172
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleA conjectural generalization of n! result to arbitrary groups
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