Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations

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dc.creatorFulmek, Markus
dc.creatorKleber, Michael
dc.date2000-04-17
dc.date2000-09-11
dc.date.accessioned2026-07-07T04:34:47Z
dc.date.available2026-07-07T04:34:47Z
dc.descriptionWe present a ``method'' for bijective proofs for determinant identities, which is based on translating determinants to Schur functions by the Jacobi--Trudi identity. We illustrate this ``method'' by generalizing a bijective construction (which was first used by Goulden) to a class of Schur function identities, from which we shall obtain bijective proofs for Dodgson's condensation formula, Plücker relations and a recent identity of the second author.
dc.descriptionCo-author Michael Kleber added a new proof of his theorem by inclusion-exclusion
dc.identifierhttps://arxiv.org/abs/math/0004113
dc.identifierhttp://arxiv.org/abs/math/0004113
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59040
dc.subjectCombinatorics
dc.subject05E15
dc.titleBijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations
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