Ribbon Schur Operators

dc.creatorLam, Thomas
dc.date2004-09-23
dc.date.accessioned2026-07-07T05:12:31Z
dc.date.available2026-07-07T05:12:31Z
dc.descriptionA new combinatorial approach to the ribbon tableaux generating functions and q-Littlewood Richardson coefficients of Lascoux, Leclerc and Thibon is suggested. We define operators which add ribbons to partitions and following Fomin and Greene study non-commutative symmetric functions in these operators. This allows us to give combinatorial interpretations for some (skew) q-Littlewood Richardson coefficients whose non-negativity appears not to be known. Our set up also leads to a new proof of the action of the Heisenberg algebra on the Fock space of U_q(sl^_n) due to Kashiwara, Miwa and Stern.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0409463
dc.identifierhttp://arxiv.org/abs/math/0409463
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72606
dc.subjectCombinatorics
dc.titleRibbon Schur Operators
dc.typetext

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