Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419722 | Advances in Applied Mathematics | 2011 | 27 Pages |
Abstract
It is shown that a refined version of a q-analogue of the Eulerian numbers together with the action, by conjugation, of the subgroup of the symmetric group Sn generated by the n-cycle (1,2,â¦,n) on the set of permutations of fixed cycle type and fixed number of excedances provides an instance of the cyclic sieving phenomenon of Reiner, Stanton and White. The main tool is a class of symmetric functions recently introduced in work of two of the authors.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bruce Sagan, John Shareshian, Michelle L. Wachs,