Plucker Relations on Schur Functions

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dc.creatorKleber, Michael
dc.date1999-07-27
dc.date.accessioned2026-07-07T05:30:06Z
dc.date.available2026-07-07T05:30:06Z
dc.descriptionWe present a set of algebraic relations among Schur functions which are a multi-time generalization of the ``discrete Hirota relations'' known to hold among the Schur functions of rectangular partitions. We prove the relations as an application of a technique for turning Plucker relations into statements about Schur functions and other objects with similar definitions as determinants. We also give a quantum analog of the relations which incorporates spectral parameters. Our proofs are mostly algebraic, but the relations have a clear combinatorial side, which we discuss.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/9907177
dc.identifierhttp://arxiv.org/abs/math/9907177
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78886
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject05E05 (Primary) 17B37, 17B10 (Secondary)
dc.titlePlucker Relations on Schur Functions
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