Littlewood--Richardson coefficients and integrable tilings

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dc.creatorZinn-Justin, P.
dc.date2008-09-14
dc.date2009-01-16
dc.date.accessioned2026-07-07T12:30:20Z
dc.date.available2026-07-07T12:30:20Z
dc.descriptionWe provide direct proofs of product and coproduct formulae for Schur functions where the coefficients (Littlewood--Richardson coefficients) are defined as counting puzzles. The product formula includes a second alphabet for the Schur functions, allowing in particular to recover formulae of [Molev--Sagan '99] and [Knutson--Tao '03] for factorial Schur functions. The method is based on the quantum integrability of the underlying tiling model.
dc.description29 pages, color figures. v2: corrected minor misprints and added short appendix. v3: fig 16 fixed
dc.identifierhttps://arxiv.org/abs/0809.2392
dc.identifierhttp://arxiv.org/abs/0809.2392
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216102
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleLittlewood--Richardson coefficients and integrable tilings
dc.typetext

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