The flag major index and group actions on polynomial rings

被引：70
作者：
Adin, RM [1 ]
Roichman, Y [1 ]
机构：
[1] Bar Ilan Univ, Dept Math & Comp Sci, IL-52900 Ramat Gan, Israel
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2001年 / 22卷 / 04期
基金：
以色列科学基金会;
关键词：
D O I：
10.1006/eujc.2000.0469
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new extension of the major index, defined in terms of Coxeter elements, is introduced. For the classical Weyl groups of type B, it is equidistributed with length. For more general wreath products it appears in an explicit formula for the Hilbert series of the (diagonal action) invariant algebra. (C) 2001 Academic Press.
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页码：431 / 446
页数：16
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