A BIJECTIVE PROOF OF r = 1 REDUCTION FORMULA FOR LITTLEWOOD-RICHARDSON COEFFICIENTS Moon, Dong-Ho;
Inspired by the reduction formulae between intersection numbers on Grassmannians obtained by Griffiths-Harris and the factorization theorem of Littlewood-Richardson coefficients by King, Tollu and Toumazet, eight reduction formulae has been discovered by the author and others. In this paper, we prove r = 1 reduction formula by constructing a bijective map between suitable sets of Littlewood-Richardson tableaux.
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Soojin Cho, Eun-Kyoung Jung, and Dongho Moon, An extension of reduction formula for littlewood-richardson coefficients, to appear in Journal of Korean Mathematical Society, 2010.
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