THE MAJOR INDEX POLYNOMIAL FOR CONJUGACY CLASSES OF PERMUTATIONS

被引：2
|
作者：
WACHS, ML
机构：
[1] Department of Mathematics, University of Miami, Coral Gables
来源：
DISCRETE MATHEMATICS | 1991年 / 91卷 / 03期
关键词：
D O I：
10.1016/0012-365X(90)90237-C
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Garsia (1988) gives a remarkably simple expression for the major index enumerator for permutations of a fixed cycle type evaluated at a primitive root of unity. He asks for a direct combinatorial proof of this identity. Here we give such a combinatorial derivation.
引用
收藏
页码：283 / 293
页数：11
相关论文
共 50 条
  • [41] A quantization of conjugacy classes of matrices
    Oshima, T
    [J]. ADVANCES IN MATHEMATICS, 2005, 196 (01) : 124 - 146
  • [42] Conjugacy classes of Renner monoids
    Li, Zhuo
    Li, Zhenheng
    Cao, You'an
    [J]. JOURNAL OF ALGEBRA, 2013, 374 : 167 - 180
  • [43] Inducing, slopes, and conjugacy classes
    Galeeva, R
    Martens, M
    Tresser, C
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 1997, 99 (1) : 123 - 147
  • [44] Conjugacy classes of fuzzy implications
    Baczynski, Michal
    Drewniak, Jozef
    [J]. COMPUTATIONAL INTELLIGENCE: THEORY AND APPLICATIONS, 1999, 1625 : 287 - 298
  • [45] CONJUGACY CLASSES IN WEYL GROUP
    CARTER, RW
    [J]. COMPOSITIO MATHEMATICA, 1972, 25 (01) : 1 - +
  • [46] Unavoidable sets and conjugacy classes
    Champarnaud, JM
    Hansel, G
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2003, 10 : 679 - 691
  • [47] Simple permutations of the classes Av(321, 13524) and Av(321, 13452) have polynomial growth
    Karim, Lutful
    Khan, Nargis
    [J]. INTERNATIONAL JOURNAL OF COMBINATORIAL OPTIMIZATION PROBLEMS AND INFORMATICS, 2011, 2 (02): : 12 - 20
  • [48] GROUPS WITH FEW CONJUGACY CLASSES
    Hethelyi, Laszlo
    Horvath, Erzsebet
    Keller, Thomas Michael
    Maroti, Attila
    [J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2011, 54 : 423 - 430
  • [49] Conjugacy classes and growth conditions
    Incitti, R
    [J]. JOURNAL OF ALGEBRA, 2003, 265 (02) : 420 - 428
  • [50] NOTE ON PARAMETRIZATION OF CONJUGACY CLASSES
    CARTER, RW
    ELKINGTO.GB
    [J]. JOURNAL OF ALGEBRA, 1972, 20 (02) : 350 - &
12345