A determinantal formula for the Hilbert series of one-sided ladder determinantal rings

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dc.creatorKrattenthaler, Christian
dc.creatorRubey, Martin
dc.date2001-06-11
dc.date2001-12-08
dc.date.accessioned2026-07-07T04:42:05Z
dc.date.available2026-07-07T04:42:05Z
dc.descriptionWe give a formula that expresses the Hilbert series of one-sided ladder determinantal rings, up to a trivial factor, in form of a determinant. This allows the convenient computation of these Hilbert series. The formula follows from a determinantal formula for a generating function for families of nonintersecting lattice paths that stay inside a one-sided ladder-shaped region, in which the paths are counted with respect to turns.
dc.description28 pages, AmS-LaTeX; an error in the definition of ladder determinantal ring was corrected
dc.identifierhttps://arxiv.org/abs/math/0106076
dc.identifierhttp://arxiv.org/abs/math/0106076
dc.identifierin: Algebra, Arithmetic and Geometry with Applications, C. Christensen, C. Bajaj, G. Sundaram and A. Sathaye, eds., Springer-Verlag, New York, 2003, pp. 525-552.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61625
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject05A15 13C40 (Primary) 05A19 13F50 13H10 (Secondary)
dc.titleA determinantal formula for the Hilbert series of one-sided ladder determinantal rings
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