Vertex operators for standard bases of the symmetric functions

dc.creatorZabrocki, Mike
dc.date1999-04-16
dc.date.accessioned2026-07-07T05:28:43Z
dc.date.available2026-07-07T05:28:43Z
dc.descriptionWe present a formulas to add a row or a column to the power, monomial, forgotten, Schur, homogeneous and elementary symmetric functions. As an application of these operators we show that the operator that adds a column to the Schur functions can be used to calculate a formula for the number of pairs of standard tableaux the same shape and height less than or equal to a fixed $k$.
dc.description22 pages. Material presented at seminar talk 'How to grow symmetric functions.' Maple programs for formulas available at http://www.lacim.uqam.ca/~zabrocki/maple/Vertex.html
dc.identifierhttps://arxiv.org/abs/math/9904084
dc.identifierhttp://arxiv.org/abs/math/9904084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78367
dc.subjectCombinatorics
dc.subject05E05
dc.titleVertex operators for standard bases of the symmetric functions
dc.typetext

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