Representation theory and combinatorics of classical groups, quantum groups and Hecke algebras

经典群、量子群和赫克代数的表示论和组合学

• 批准号: 23540008
• 负责人: TERADA Itaru
• 金额: $ 3.24万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23540008/
• 关键词: リトルウッド・リチャードソン盤; ヤング図形; 組合せ論; 全単射; 対合性; ロビンソン・シェンステッド対応; 旗多様体; ハイブ; 国際研究者交流(イギリス・ポルトガル); 国際研究者交流; イギリス・ポルトガル; イギリス:ポルトガル

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.

Littlewood-Richardson系数是Schur函数产品的系数，作为Schur功能的总和，被描述为称为Littlewood-Richardson Tableaux的组合物体数量。组合证明是通过与King和Azenhas的合作进行的，其中一种使用传统的Littlewood-Richardson Tableaux，另一种使用Knutson和Tao引入的新组合物体。

项目成果

ヤング図形から表現論をさぐる

从年轻形状探索表示理论

• 发表时间: 2013
• 期刊: 数理科学
• 作者: 寺田 至