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Eulerian quasisymmetric functions and cyclic sieving
Journal article   Open access  Peer reviewed

Eulerian quasisymmetric functions and cyclic sieving

Bruce Sagan, John Shareshian and Michelle L Wachs
Advances in applied mathematics, Vol.46(1-4), pp.536-562
2011-01

Abstract

Cyclic sieving Major index Quasisymmetric functions Excedance
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,…,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.
url
https://doi.org/10.1016/j.aam.2010.01.013View
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Collaboration types
Domestic collaboration
Citation topics
9 Mathematics
9.28 Pure Maths
9.28.1228 Stirling Numbers
Web Of Science research areas
Mathematics, Applied
ESI research areas
Mathematics

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