Quantum Schubert polynomials and quantum Schur functions

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dc.creatorKirillov, Anatol N.
dc.date1997-01-05
dc.date1997-01-20
dc.date.accessioned2026-07-07T09:04:58Z
dc.date.available2026-07-07T09:04:58Z
dc.descriptionWe introduce the quantum multi-Schur functions, quantum factorial Schur functions and quantum Macdonald polynomials. We prove that for restricted vexillary permutations the quantum double Schubert polynomial coincides with some quantum multi-Schur function and prove a quantum analog of the Nagelsbach-Kostka and Jacobi-Trudi formulae for the quantum double Schubert polynomials in the case of Grassmannian permutations. We prove, also, an analog of the Billey-Jockusch-Stanley formula for quantum Schubert polynomials. Finally we formulate two conjectures about the structure of quantum double and quantum Schubert polynomials for 321-avoiding permutations.
dc.description17pages, PlainTeX, revised version contains additional examples, references, and new Section 4 about the determinantal formulae for quantum double Schubert polynomials
dc.identifierhttps://arxiv.org/abs/q-alg/9701005
dc.identifierhttp://arxiv.org/abs/q-alg/9701005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149577
dc.subjectQuantum Algebra
dc.titleQuantum Schubert polynomials and quantum Schur functions
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