A polyhedral proof of a wreath product identity

Autor:	Bruce E. Sagan, Robert Davis
Rok vydání:	2019
Předmět:	Combinatorics Identity (mathematics) Permutation Integer Wreath product Generating function Discrete geometry Major index Polytope Mathematics
Zdroj:	Journal of Combinatorics. 10:711-723
ISSN:	2150-959X 2156-3527
DOI:	10.4310/joc.2019.v10.n4.a5
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::11a3e08ac55cadecf6f15214276297fc https://doi.org/10.4310/joc.2019.v10.n4.a5 Zobrazit plný text záznamu