Hyperdeterminantal expressions for Jack functions of rectangular shapes

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dc.creatorMatsumoto, Sho
dc.date2006-03-02
dc.date2007-09-18
dc.date.accessioned2026-07-07T09:42:16Z
dc.date.available2026-07-07T09:42:16Z
dc.descriptionWe derive a Jacobi-Trudi type formula for Jack functions of rectangular shapes. In this formula, we make use of a hyperdeterminant, which is Cayley's simple generalization of the determinant. In addition, after developing the general theory of hyperdeterminants, we give summation formulae for Schur functions involving hyperdeterminants, and evaluate Toeplitz-type hyperdeterminants by using Jack function theory.
dc.description18 pages. The title of 3rd version is ''Hyperdeterminant expressions ...''. The title of 1st and 2nd versions was ``Summation formulas for Schur functions involving hyperdeterminants''
dc.identifierhttps://arxiv.org/abs/math/0603033
dc.identifierhttp://arxiv.org/abs/math/0603033
dc.identifierJournal of Algebra 320 (2008) 612--632
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162123
dc.subjectCombinatorics
dc.subject05E05; 15A15
dc.titleHyperdeterminantal expressions for Jack functions of rectangular shapes
dc.typetext

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