题目：　Cells in symmetric groups
报告人：　杜杰　教授 (紫江讲座教授）
School of Mathematics,
University of New South Wales,
Australia

报告时间: 2006年 2月13日上午１０:00~1１:00
地点：　理科大楼：　１４１４

摘要: Kazhdan-Lusztig cells are certain equivalence classes in Coxeter groups (e.g., finite reflection groups), and have important applications in representations of many quantum algebras such as Hecke algebras and quantum groups. Though the determination of cells is generally a hard problem, the answer for symmetric groups was known to D. Kazhdan and G. Lusztig as one of the main results given in their original paper. The proof in this case is largely combinatorial except the use of a Vogan's result which is obtained in the context of primitive ideals for universal enveloping algebras. In this talk, I am going to replace this part of the proof by a combinatorial argument, and thus, to make it possible to discuss the Kazhdan-Lusztig cell theory for symmetric groups within the scope of those standard texts such as R. Stanley's books on Enumerative Combinatorics or W. Fulton's book on Young Tableaux.