Cyclic sieving for longest reduced words in the hyperoctahedral group
Combinatorics
2009-05-19 v1 Representation Theory
Abstract
We show that the set R(w_0) of reduced expressions for the longest element in the hyperoctahedral group exhibits the cyclic sieving phenomenon. More specifically, R(w_0) possesses a natural cyclic action given by moving the first letter of a word to the end, and we show that the orbit structure of this action is encoded by the generating function for the major index on R(w_0).
Keywords
Cite
@article{arxiv.0905.2650,
title = {Cyclic sieving for longest reduced words in the hyperoctahedral group},
author = {T. Kyle Petersen and Luis Serrano},
journal= {arXiv preprint arXiv:0905.2650},
year = {2009}
}
Comments
10 pages