RSK BASES AND KAZHDAN-LUSZTIG CELLS

被引：4
作者：
Raghavan, K. N. [1 ]
Samuel, Preena [1 ]
Subrahmanyam, K. V. [2 ]
机构：
[1] Inst Math Sci, Madras 600113, Tamil Nadu, India
[2] Chennai Math Inst, Siruseri 603103, Tamil Nadu, India
来源：
ANNALES DE L INSTITUT FOURIER | 2012年 / 62卷 / 02期
关键词：
Symmetric group; Hecke algebra; Kazhdan-Lusztig basis; RSK correspondence; GENERAL LINEAR-GROUPS; HECKE ALGEBRAS; INVARIANT THEORY; REPRESENTATIONS; THEOREM;
D O I：
10.5802/aif.2687
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
From the combinatorial characterizations of the right, left, and two-sided Kazhdan-Lusztig cells of the symmetric group, "RSK bases" are constructed for certain quotients by two-sided ideals of the group ring and the Hecke algebra. Applications to invariant theory, over various base rings, of the general linear group and representation theory, both ordinary and modular, of the symmetric group are discussed.
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页码：525 / 569
页数：45
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