Odd length for even hyperoctahedral groups and signed generating functions
Combinatorics
2016-06-07 v1
Abstract
We define a new statistic on the even hyperoctahedral groups which is a natural analogue of the odd length statistic recently defined and studied on Coxeter groups of types and . We compute the signed (by length) generating function of this statistic over the whole group and over its maximal and some other quotients and show that it always factors nicely. We also present some conjectures.
Cite
@article{arxiv.1606.01751,
title = {Odd length for even hyperoctahedral groups and signed generating functions},
author = {Francesco Brenti and Angela Carnevale},
journal= {arXiv preprint arXiv:1606.01751},
year = {2016}
}