Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4656192 | Journal of Combinatorial Theory, Series A | 2008 | 11 Pages |
Abstract
Using classical transformations on the symmetric group and two transformations constructed in Fix-Mahonian Calculus I, we show that several multivariable statistics are equidistributed either with the triplet (fix, des, maj), or the pair (fix, maj), where “fix,” “des” and “maj” denote the number of fixed points, the number of descents and the major index, respectively.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics