A normalization formula for the Jack polynomials in superspace and an identity on partitions

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dc.creatorLapointe, Luc
dc.creatorBorgne, Yvan Le
dc.creatorNadeau, Philippe
dc.date2008-03-28
dc.date.accessioned2026-07-07T09:29:11Z
dc.date.available2026-07-07T09:29:11Z
dc.descriptionWe prove a previously conjectured closed form formula for the norm of the Jack polynomials in superspace with respect to a certain scalar product. The proof is mainly combinatorial and relies on the explicit expression in terms of admissible tableaux of the non-symmetric Jack polynomials. In the final step of the proof appears an identity on weighted sums of partitions that we demonstrate using the methods of Gessel-Viennot.
dc.description20 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0803.4182
dc.identifierhttp://arxiv.org/abs/0803.4182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157696
dc.subjectCombinatorics
dc.subject05A19; 05E05
dc.titleA normalization formula for the Jack polynomials in superspace and an identity on partitions
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