| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Research Abstract |
Littlewood-Richardson coefficients, which are the coefficients of products of Schur functions expanded as sums of Schur functions, are described as the numbers of combinatorial objects called Littlewood-Richardson tableaux.
For the bijection between Littlewood-Richardson tableaux given by Azenhas, which realizes the symmetry of Littlewood-Richardson coefficients reflecting the commutativity of Schur dunctions, is given two combinatorial proofs, by collaboration with King and Azenhas, one of which using the conventional Littlewood-Richardson tableaux and the other using new combinatorial objects called hives which have been introduced by Knutson and Tao rather recently.
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