A Polyhedral Proof of a Wreath Product Identity
Combinatorics
2017-12-05 v1
Abstract
In 2013, Beck and Braun proved and generalized multiple identities involving permutation statistics via discrete geometry. Namely, they recognized the identities as specializations of integer point transform identities for certain polyhedral cones. They extended many of their proof techniques to obtain identities involving wreath products, but some identities were resistant to their proof attempts. In this article, we provide a geometric justification of one of these wreath product identities, which was first established by Biagioli and Zeng.
Keywords
Cite
@article{arxiv.1712.00839,
title = {A Polyhedral Proof of a Wreath Product Identity},
author = {Robert Davis and Bruce Sagan},
journal= {arXiv preprint arXiv:1712.00839},
year = {2017}
}
Comments
10 pages, 2 figures