RSK 基与 Kazhdan-Lusztig 胞
表示论
2011-01-21 v3 组合数学
摘要
从对称群的右、左和双侧 Kazhdan-Lusztig 胞的组合刻画出发，为群环和 Hecke 代数的双边理想所构成的某些商构造了“RSK基”。讨论了其在各种基环上一般线性群的不变量理论以及对称群表示理论中的应用。
引用
@article{arxiv.0902.2842,
title = {RSK bases and Kazhdan-Lusztig cells},
author = {K. N. Raghavan and Preena Samuel and K. V. Subrahmanyam},
journal= {arXiv preprint arXiv:0902.2842},
year = {2011}
}
备注
31 pages, latex; version 2 differs substantially in exposition from version 1; for version 3: added important references, corrected typos, added comments suggested by referee, results unchanged