A combinatorial generalization of the Boson-Fermion correspondence

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dc.creatorLam, Thomas
dc.date2005-07-17
dc.date.accessioned2026-07-07T05:21:46Z
dc.date.available2026-07-07T05:21:46Z
dc.descriptionWe attempt to explain the ubiquity of tableaux and of Pieri and Cauchy formulae for combinatorially defined families of symmetric functions. We show that such formulae are to be expected from symmetric functions arising from representations of Heisenberg algebras. The resulting framework that we describe is a generalization of the classical Boson-Fermion correspondence, from which Schur functions arise. Our work can be used to understand Hall-Littlewood polynomials, Macdonald polynomials and Lascoux, Leclerc and Thibon's ribbon functions, together with other new families of symmetric functions.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0507341
dc.identifierhttp://arxiv.org/abs/math/0507341
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75810
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject05E05
dc.titleA combinatorial generalization of the Boson-Fermion correspondence
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